No. I suggest you put the chicks under her at night when it is dark. Bring them home, keep them in the AC during the rest of that day and put them under her at night. It's not going to be at peak temperature then, much cooler than 105.
Broody hens raise chicks in those temperatures. They need plenty of water and shade. I don't know what the area she would raise them in looks like, but if they can settle down on dirt in the shade she'll do fine. Wetting the soil could help cool it down.
Before a hen even starts laying eggs she builds up excess fat. I've butchered enough hens, roosters, pullets, and cockerels to see that difference in the amount of fat they store, it is a lot. That fat is for them to mostly live off of while they are broody. That way they can spend most of their time taking care of the eggs instead of off the nest looking for food. Most broody hens break from being broody when they use up that excess fat. If your hen has been broody for 3 months she has to have used up that excess yet hasn't broken. You get some like that. I'd either renew my efforts to break her or get her chicks to raise now.
