Having owned Bryston, I know the amps are bright. I have read that the Totems can be bright sounding...especially with the Sig's metal tweeter. Based on this, I'd wager you have a bad match. The Totems are well regarded for their sound. Bryston is well regarded for it's neutrality and warranty. I'd suggest replacing the Bryston, and I'd recommend contacting some owners of Totem Model 1 Sig loudspeakers to find out what amplification they are using with good results.
Ian White writes in his Soundstage review:
There are some ideas. You might consider a push-pull KT88 tube integrated. Also, the Lavardin IT integrated is very well regarded. There is a used one for sale now. I have no idea how it'd work with the Totems, but I suspect it would be superior to the Bryston, considering the Lavardin's reputation as having "tube-like" characteristics.
You're not going to accomplish what you seek by changing wire.
Ian White writes in his Soundstage review:
the Model 1 Signatures are somewhat difficult to drive. I used three solid-state amps that supposedly put out more than 140Wpc into a 4-ohm load, but only the YBA 2 alpha HC DT worked really well. Believe it or not, but the 30Wpc Copland CTA-501 was my favorite amplifier during the review process (even though I had to turn the dial all the way up). The Model 1 Signatures work really well with tubes.
There are some ideas. You might consider a push-pull KT88 tube integrated. Also, the Lavardin IT integrated is very well regarded. There is a used one for sale now. I have no idea how it'd work with the Totems, but I suspect it would be superior to the Bryston, considering the Lavardin's reputation as having "tube-like" characteristics.
You're not going to accomplish what you seek by changing wire.

