two 75AH batteries means you have about 70AH of capacity before draining the batteries to about 50%. Packrate is right, 4A is pretty heavy draw. So, assuming worst case, and 4A draw for 18 hour or so thats 72AH. Batteries dead after one day with no charging going on.
160W of solar on the roof, with no obstructions, gets you about 8A tops. Assuming good sunshine for 10 hours, you MIGHT be able to get 80AH back into the batteries. Not likely on most days. That's why you want about 2x the AH of the batteries in Solar to replenish them, so 300W of panels. Your 260 plan is pretty close.
The controllers won't "fight" with each other. Plug both in as planned and see what the Trimetric tells you, then with all the stars aligning, you will be happy and drinking your bourbon on ice.
Me, I prefer to drink my hard liquor straight up