wellllll, I hope others can give a better answer. I live in Ca and have limited cooling time, I have to tie it to winter and seem to always have late litters. Still have not had any for this season, they seem to be running a bit later than usual. I've always cooled both the same so I can't really say which needs it more. They do seem to do better with a cooling period. I do know one male can service multiple females, last year one of my males sired 90 babies with four females.
At 3 lbs already, she should be well along the way to proper size. This last year, all of my females continued to eat through the "cooling cycle" and only stopped eating when things started to warm up. I believe while cooling is essential in sperm production, it's the warm up that triggers actual breeding. Point is you may have more feeding time than you think.
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Thanks,
Dave Colling

www.rainbows-r-us-reptiles.com
0.1 Wife (WC)
0.2 kids (CBB, selectively bred from good stock)
LOL, to many snakes to list, last count:
11.24 BRB
10.16 BCI
And those are only the breeders 
lots.lots.lots feeder mice and rats 