Single tank side mount isn't difficult and in my experience, lateral trim is not an issue with an AL 80 or AL 72 and those, as well as the AL 40, are probably the best choices for a monkey dive.
If your particular rig is really trim sensitive, I suppose you could put a 2 or 3 pound weight in a trim pouch on the opposite side at the start of the dive, then when the tank gets light, move the weight to a pouch on a cam band near the tail of the tank, or just on the left side of your harness.
I have found that a 3442 psi steel 100 or an LP 95 will be on the heavy side when full and will want to roll me to the left. However, adding 5 pounds in a weight pouch on the right side of the harness restores trim enough to make the entire dive comfortable.
As Dale notes, it's ridiculously easy to connect a single side mount tank on a boat, a bench, or in the water. Just clip in the tail, clip in the bolt snap on the neck, pull a bungee over the valve, and route the primary second stage around your neck and you're ready to go. It takes about as long to do it as it takes to read it.
My concession to single tank side mount diving, compared to two tank diving is to add another second stage, leaving it bungeed to the tank.