If you succeed in softening the wire without burning the elevators, you will have effectively taken the temper out of the wire, and as a result it may not be able to cope with the torsional loads imposed upon it in flight. On the other hand, heating the wire will tend to melt the epoxy that's holding it to the elevator. If you can get enough heat transfer down the wire where it's embedded in the elevator, you may be able to remove it without causing damage. Then you can fit a new wire. Heat guns are used to remove bonded aluminum doublers on full size aircraft. Epoxy will breakdown with heat, and it doesn't take very much either...just don't breath the fumes!
As previously mentioned, what have you got to loose?

Good Luck, Nigel