Hi there and welcome!!!
Congrats on the wild turkey, I wish I could snag me one while hunting but the seasons don't exactly line up well or when they do I don't have turkey's I can take come around.
With that said I've never cooked a wild turkey but have cooked many turkeys and chickens without skin.
#1 I highly recommend you wet brine using an equilibrium brine so you cant go wrong. An equilibrium brine ensures you never get too salty
#2 With the equilibrium brine liquid mixed up I highly recommend you inject that brine into all of the turkey especially all into the breast deep down and all over
#3 Smoke it anyway you like until it hits about 162F deep in the breast, it should coast up to 165F provided you put the probes in properly. You can go any temp you like but I think the faster the better to avoid prolonged moisture loss due to less time exposed cooking.
If you are going to wrap with bacon I would suggest you do a smoker temp of 325F+ so that the bacon can maybe get crispy but should be edible.
That's the info I have. Let us know if you would like to know more about an equilibrium brine. Once you learn what/how to do one you can brine and wet cure any meat with confidence and no risk of ever being too salty or worrying about going too long with the brine time :)