Two approaches:
1.Easy way
Spread tobacco evenly on a plate. Fill a spray bottle with rum. Spritz until moist but not soaking wet. Place in dry area away from sunlight, pets and children. Allow to dry evenly by stirring hourly. When desired moisture level for smoking is achieved, smoke. This may take trial and error until you find the moisture "sweet spot". Jar the remainder.
2. Balls out
Pack the tobacco, somewhat firmly but not tightly, into a glass a bit larger than the amount of tobacco. Second, pour the rum so it is just even with the top of the tobacco. Wait until the rum soaks in. (I have no idea how long, really) You should see the volume increase, depending on the initial moisture level of the tobacco. Pour off the excess rum (there should not be much, if any), then spread out the tobacco on a glass or ceramic plate. Allow to dry away from sunlight and pets/children, stirring every couple hours so it dries evenly, until it reaches your most desired level of moisture for smoking, then smoke. Jar the remainder.
From my experiences with Herbal Healing, I understand the alcohol itself will release compounds otherwise dormant in the leaf. Alcohol soluble. This will alter and enhance the flavor. Chocolate and many other plant derived foods have similar properties when combined with alcohol. There may be no need to use spiced rum. I would recommend Bacardi 151 due to the higher proof will be more effective and not take as long to evaporate. It should still have a good rum flavoring.
Incidentally, if you just soak an ounce of tobacco in alcohol overnight, then drink it after straining/pressing out the tobacco, you will have ingested a strong tincture containing the alcohol soluble constituent properties of tobacco. You will, of course, become radically buzzed, violently ill, likely have a coronary and then probably die. But, you would have a nifty brown tincture to show your friends should you survive. We now return to our regularly scheduled programming.