I've got a small smoker and have smoked whole chickens. The resulting meat is good hot or cold. I prefer it cold with a salad.
I think you could do the same with the turkey meat. I would place the fillets in strong brine for about 45 minutes, rinse, dry and then put in the smoker for:-
1 hour hot (110-130 deg C)
OR
5-8 hours cold (30-50 deg C)
The figures are just my best guess based on how the chickens turn out. You need to match the time to the size of the piece of meat in order to achieve a reasonable state of preservation. I wouldn't rely on the smoking to preserve the meat though and would store in the freezer if the meat had to be kept for more than a couple of days.
I only offer this as another alternative to curing, not as a preferred approach.
NN