This isn't going to work.
Get one deep cycle battery for a camper, and one marine "hybrid" type for a motor.
House battery people usually have at least 90 AH, it weighs over 55 lbs but for a trailer weight doesn't matter. It has to be deep cycle.
Marine for your purpose can be 40-60 AH, less heavy. This one should be a hybrid, kinda in between deep cycle and starter battery. Get Optima Blue Top (or Yellow Top, don't remember the difference), if you can afford it. Though people with trolling motors often carry a cheap hybrid battery from places like Walmart.
I put a 2.5 HP 4-stroke motor on a canoe with floats/amas similar to yours. Weighs 30 lbs, runs 4 hours at trolling speed on one liter built-in tank. Though I'm on sea, lots of wind and currents, trolling motor would be too weak.
Lithium is an interesting idea, but I haven't heard of anybody using it on canoes. A small 20 AH for electric bike weighs 20 lbs and costs ~$900. The problem is that they come in 36, 48 and 52V, this is a typical voltage of a bike motor. Don't remember if there are any 12V. If you really want to spend a lot, get
Torqueedo Outboard. It's a trolling motor with a proprietary Li battery. Expensive and not too popular.