The problem is the 685s, not the B60. You're hearing the speakers' limits. I've owned a B60 for about 4 years now and know it very well. I've heard it drive more difficult speakers than yours without issues.
My room size is similar to yours, and my volume knob is usually at about 11 - 12:00. With the internal phono stage (I use a HOMC), it's at about 1 or 2:00. No problems at all. The volume knob is designed to use pretty much the full range. Most others use about a quarter. Other Bryston systems I've been around use most of the volume knob too.
I'd evaluate what you have in the new room before buying anything. You could be in for a very slipperly slope if you don't. The 685s are good speakers, but they're pretty much entry level speakers. They're not on the same level as the B60 IMO. I'd look at those and/or your source first. The only way to really figure out what you need is to hear what you've got in the new room.
The B60's 60 underrated watts will go a lot further than you think. It's a true dual mono design with 2 seperate power transformers. Nothing about it or anything else Bryston is average.