( I am assuming when you say pulling brood you mean pulling ALL brood. Else why bother )
Just so folks realize: when brood is pulled the rotation of the population is halted until the nest is reestablished, rebalanced, and rotating again. The hive will dwindle for a month, dropping off sharply at 2-3 weeks. It will be 5 to 6 weeks until it has a foraging force restored. Expect 8 weeks until it is back to where it was before you messed them up. Pulling brood is a VERY significant setback of the colony. That said, if the brood pulling method is done in your early winter when the hive is not brooding much at all anyways, at that time the impact can be minimized. Pulling brood is a tool to have in your IPM toolbox, my point of stress is that the timing is so important and wanting folks to understand the severity of detrimental impacts so it is not done trivially or haphazardly.
Preferable alternate suggestions you are setup and already using OAV anyways: To maintain an established colony while thoroughly cleaning up an infestation with zero impact to the balance and functions of the colony; simply apply OAV at 4 day intervals for 24 days. 6 treatments. To explain that timing please review the brood cycle of egg to cap to bee. A thread here on BM which is a good read with supportive data, titled: -Did my first OAV treatment today-
Regarding the temperature question, fyi just yesterday did the last treatment of the year for the backyard hives here. -1 degC, 30degF
The hives are insulated, sunny day, loose and active clusters.