The toughest part of what you want to do will be wanting to go the 2nd time. Being constantly outside that time of year burns major calories. Making hot meals at least a couple times a day becomes neccessary, not a luxury. I dont think any tent fuel powered heaters are used anymore in tents due to the flame/ carbon monoxide threat.
Be sure to pick a tent made for winter use, or 4 season use to hold up to seasonal winds and snow acccumulation. Put foam mattresses down on the ground for insulation. they will make a very big difference. Be sure to totally change into fresh dry clothes at the end of each day.Eat high carb, high energy meals and alot of snacks to keep the furnace burning. I certainly can relate to the cash limitations, but perhaps for yourself down the road, a beater pick up with a cap would be a good alternative. I have spent many a deer season night in my pickup. I put down plywood and the foam for insulation, and can usuallly be quite comfortable. Good luck.