As noted by others, there have been a lot of threads on this subject and you should research them.
Truly good sounding solid-state preamps, which is to say, the ones that do not sound "solid-state", tend to be very expensive, and I agree with the above poster that it is a lot easier to get a good sounding tube preamp at a given price point than solid-state. Most importantly, tube preamps layer space better than most solid-state preamps.
That said, the very best solid-state preamps layer space just as well as tube preamps. They are also quieter, and this to me is crucial - tube pre's obscure detail compared to the better solid-state preamps because of the greater noise levels generated by small-signal tubes. A preamp sends a signal that is amplified many times by the amplifier - if the signal received from the preamp at an amp's inputs is noisy to begin with, noise levels become quickly audible. In a high-resolution system, a solid-state preamp allows a listener to hear deeper, and with the best SS pre's, a lot deeper, into recordings.
Except for those that are output transformer coupled (most are not), tube preamps have high-ish output impedances and often have bass rolloff problems with amps having low input impedances, compromising compatibility. They also tend to have trouble driving long (>2 M.) interconnects, again limiting compatibility. The only inconvenience I have encountered with SS pre's concerns powering them down for electrical storms - tube preamps come back to life within a few hours, while a solid-state pre's need a lot longer.
Turning to your specific question, the issue with running a solid-state preamp with a tube preamp again comes back to cost. Just as it takes a very good (and thus very $$$) solid-state preamp to get past solid-state preamp problems, it likewise takes a lot of money to get into a tube amp that does not have typical tube amp problems, specifically, an inability to control woofers and non-linear frequency response due to impedance issues with dynamic (cone) loudspeakers - the amp has to have massive power supplies and most importantly, really good output transformers, which are really expensive. In the alternative, you can get a hell of a lot of performance from a relatively moderate-cost combo like an Audible Illusions 3A tube preamp with a Bryston or McCormack SS amp.
At the top end of the market, however, a solid-state pre is the way to go in my opinion. I run a very quiet solid-state preamp (battery powered, fully differential balanced Rowland Coherence II) with either solid-state (darTZeel) or triode tube (VAC Renaissance 70/70) amplifiers. The Rowland's output impedance is a really low 50 Ohms, which can even drive the darTZeel through its 50 Ohm input. My backup preamp is a solid-state ARC LS-3. I've owned some pretty decent tube preamps (Jadis, Hovland, CAT), I've heard many others, and love what they do well, but believe that, generally speaking, very high-end solid-state is best at the preamplification stage with either tube or solid-state amplification.
Truly good sounding solid-state preamps, which is to say, the ones that do not sound "solid-state", tend to be very expensive, and I agree with the above poster that it is a lot easier to get a good sounding tube preamp at a given price point than solid-state. Most importantly, tube preamps layer space better than most solid-state preamps.
That said, the very best solid-state preamps layer space just as well as tube preamps. They are also quieter, and this to me is crucial - tube pre's obscure detail compared to the better solid-state preamps because of the greater noise levels generated by small-signal tubes. A preamp sends a signal that is amplified many times by the amplifier - if the signal received from the preamp at an amp's inputs is noisy to begin with, noise levels become quickly audible. In a high-resolution system, a solid-state preamp allows a listener to hear deeper, and with the best SS pre's, a lot deeper, into recordings.
Except for those that are output transformer coupled (most are not), tube preamps have high-ish output impedances and often have bass rolloff problems with amps having low input impedances, compromising compatibility. They also tend to have trouble driving long (>2 M.) interconnects, again limiting compatibility. The only inconvenience I have encountered with SS pre's concerns powering them down for electrical storms - tube preamps come back to life within a few hours, while a solid-state pre's need a lot longer.
Turning to your specific question, the issue with running a solid-state preamp with a tube preamp again comes back to cost. Just as it takes a very good (and thus very $$$) solid-state preamp to get past solid-state preamp problems, it likewise takes a lot of money to get into a tube amp that does not have typical tube amp problems, specifically, an inability to control woofers and non-linear frequency response due to impedance issues with dynamic (cone) loudspeakers - the amp has to have massive power supplies and most importantly, really good output transformers, which are really expensive. In the alternative, you can get a hell of a lot of performance from a relatively moderate-cost combo like an Audible Illusions 3A tube preamp with a Bryston or McCormack SS amp.
At the top end of the market, however, a solid-state pre is the way to go in my opinion. I run a very quiet solid-state preamp (battery powered, fully differential balanced Rowland Coherence II) with either solid-state (darTZeel) or triode tube (VAC Renaissance 70/70) amplifiers. The Rowland's output impedance is a really low 50 Ohms, which can even drive the darTZeel through its 50 Ohm input. My backup preamp is a solid-state ARC LS-3. I've owned some pretty decent tube preamps (Jadis, Hovland, CAT), I've heard many others, and love what they do well, but believe that, generally speaking, very high-end solid-state is best at the preamplification stage with either tube or solid-state amplification.