BJDs and Halogen/Tungsten lighting

I take it then that the studio you'll be using uses halogen continuous lights, not strobes?

It is definitely possible to take your doll to the course, you just need to take some precautions.
Resin is first and foremost sensitive to UV wavelengths, which accelerate the yellowing process. I don't know about the specific lights the studio uses, but incandescent lights in general don't emit much in the UV spectrum, but rather in the IR . This is why you'll see halogen lights in museums much more often than fluorescent lamps, which emit more UV light.
What incandescent light does however is, as you say, heat things up through thermal radiation — that's what the IR emission is. The intensity of this radiation hitting any surface will however diminish in proportion to the square of the distance.

My advice is therefore:

• First and foremost to always keep an eye, or rather a finger, on the temperature of the doll. If you can notice that the doll begins feeling a bit warm to the touch, it's time to take a break.

• Second, the further away you can keep the lamps from the dolls, the better. The square of the distance, remember?

• Best of all: if you can avoid having the lamp itself have a direct line of sight to the doll by bouncing the light, you'll cut the heat transmission almost completely. Softboxes will screen some of the IR radiation, but not all, so using a large softbox further away is better than using a small one close in, from this perspective.

• Finally, what the thermal radiation does is transmit heat to the doll. If you can implement a solution to remove that heat at an equal or faster pace than the lamps can transfer it to the doll, then you're safe for an indefinite period of time. Such a solution might for instance be a rotary fluid impulsion device to induce forced convection.
  ...in layman's terms, this would be known as "a fan". Depending on the set-up and the ambient temperature in the room, a gentle breeze might well suffice, just enough to get the air moving, but not enough to actually move hair or clothing.

All of the above only becomes relevant if the doll is going to spend a long time in intense studio light. Just several minutes at a time isn't going to make any difference.

Hope this helps!