Personally, I wouldn't start with temps that high. For several years, I used heated rooms without supplemental cage heat - and I kept them at 84 degrees*. (It should be noted that I kept a variety of pythons and boas in that room.) As far as BPs are concerned, my history with them is short (comparatively speaking), but they did well in that setup...the only problem was that when it got cold enough outside (winter), the room temperature would drop slightly. That slight drop didn't affect anything except some of the BPs, which would go off f/t at that time. Adding supplemental heat only helped with approximately 40% of them. After the first year, I just accepted it as their routine...feeding the ones that would eat, and waiting out the rest. Only one year did I have to turn back to live prey to get them going again.
Daniel, you don't mention the size of the closet, how you are heating it, or the temperatures you are using. Are the racks themselves heated (I'm guessing not, from your original post) Another consideration, which you may/may not know the answer to at this time, is how the temps are affected by seasonal temperature changes (for example, if the racks are bordering an outside wall, the tub temps may have a gradient...if only seasonally).
At some point, you will probably want to look at your set up, and consider the financial impacts, as well. Is it more cost effective to keep that room hot? Or to add supplemental heat to the racks. I have decreased the temperature in my (former) hot room to around 78, and switched to heated racks, and cut my electric bill.
*If you do opt to run higher temps, consider letting the temps drop to the low 80s at night.