I've owned the Outlaw model-755 for a couple of years and it's and exceptional amp. I've never had the pleasure of hearing a Bryston so I can't compare, but they're supposed to be very good.
The Byston has a good warranty, but the Outlaw is not bad either. I got five years transferable with mine.
BTW, the Outlaw's (at least the model I have) are actually built by ATI. So between these two I would definately go with the Outlaws. Cheaper with better warranty.
Outlaws customer service is outstanding as well, if this matters to you.