Quick recipe starting with the "Jambon Cuit d'Ours "
I will not go into details of curing and smoking* these techniques are largely personal, safety is obviously a priority when curing meats. A cooked ham is definitely the way to go with bear meat, if you want to do a controlled dry cure on game make excellent bunderfleisch/bresaola from naturally lean deer meat using cure no.2 and call it a day.
My suggestion; a wet brine for an appropriate period, using 1 tbsp per gallon of water of cure no.1. Salt and sugar to taste**. In my experience, using a lot of salt and then soaking and drying before smoking makes for a hammier ham.
I would suggest making noix de jambon or little boneless hams, most will bone game anyways. I would still inject cure into these with a marinade needle. They will not only take the cure more easily, but will come up to a safe temperature more quickly (though this is not as much a concern as with uncured meat).
Smoking at a relatively low temperature but not true cold smoking is the name of the game. You can start at low temps (true cold smoking) and work your way up. Or cold smoke it and oven it. I plan on gradually bumping the temp on mine until they are at 180-190 degrees internally. I will then cool them and reheat them in a variety of traditional ham ways or just slice it. Don't take it too high while smoking, you don't want to alter the texture, its ham not pulled bear.
Use a mild smoke, because even the small hams will smoke for quite some time. I like to use a fruit wood and oak. Beech is good if you can get it. Used properly cured wood only, barkless etc. I may be using some maple wood as well this year. I apply smoke for the entire cooking period to form a good pellicle, but it has to be mild and thin for this to make a palatable ham.
* I failed in this respect
** not literally FFS
TL/DR
So to address the Dr.Pepper/Cola thing just reduce it until it on the verge of being syrup and use it to baste the ham. It goes well with strong smokey hams.