Before you worry about exactly how to heat the new "oven" there are a couple of things to be concerned about. Basically, what you have is a metal outer box with, I presume, a metal inner box, insulation in between the two, a door with hinges and latches, some framework, and a bunch of refrigeration stuff that you don't want. Take a look at these things first:
1) What kind of insulation does it have? Since it's a fridge, it's not likely the insulation is going to be good for the temps you will want for a curing oven.
2) What are the door gaskets made from? If they're rubber, they may not work out too well.
3) How hot can you stand the outside to be when it's running? This relates to the space between the inner and outer wall and the insulating value of whatever you end up with in there.
4) Is there any way to take the inner box out of the outer box so you can re-insulate it if required.
5) It's likely that the existing insulation is foamed in place material which will be difficult to remove and may be structural as well.
AFA heating goes, electric is simpler and doesn't explode if you screw up. Can still kill ya if you don't know what you're doing. Gas is harder to control. Some kind of convection fan inside would help maintain a uniform temp throughout the space. The temperature gradient from top to bottom can be pretty large w/o a fan which will give you inconsistent curing of whatever it is you're planning to cure.