Cases look great!! I expect they'll be fine. I'm really looking forward to your results.
If you do it in a darkened room, annealing just the neck & shoulder with a propane torch, it shouldn't present any difficulties.
It's been pretty miserable here after about 9:00 AM for the last couple weeks so I understand. Temps are moderating considerably today....just in the mid-80's. I still can't do much, being restricted to lifting no more than 10 lbs., so I suppose the weather doesn't matter much right now. Have a follow up appt. this coming Thursday and hope to get turned loose a little.