Funny, I was just about to recommend Nola Boxers as they have great mids and not overly bright highs. Also Joseph Audio RM7si IIs another great speaker. Both can be found on hifishark for a little over your price range. I'd think the Revels might be a little too revealing up top given the other speakers the OP found to be too bright. Agree with @tute that a speaker with the super smooth Raal ribbon tweeter would be well worth a look if you can find one near your price point.
Also agree with @yogiboy that the $500 sub is probably the issue with bass integration rather than the $2200 monitors -- they're pretty flat to 80Hz, which should be workable. Sub placement and lack of integration software/hardware likely not helping either. That said, the P3ESRs are not the speaker I'd choose if I'm mainly listening to pop rock music as they do have their volume limits. Best of luck.
Also agree with @yogiboy that the $500 sub is probably the issue with bass integration rather than the $2200 monitors -- they're pretty flat to 80Hz, which should be workable. Sub placement and lack of integration software/hardware likely not helping either. That said, the P3ESRs are not the speaker I'd choose if I'm mainly listening to pop rock music as they do have their volume limits. Best of luck.