why de connect the battery ? cant think of a reason to bother.
I know you have a stick, and neutral towing is fine, the reason stick and auto are different is the auto fluid pump not operating in the toad, something internal could run dry. No pump required in a manual.
That brings me to to my real comment; I've always wondered about towing a automatic with driveshaft installed, but RUNNING THE TOAD IN NEUTRAL with MOTOR RUNNING IDLE. The trans pump should do just fine in that case. Idle burns about roughly 1 cup = 6 minutes. Easier than doing a shaft install when you reach deer camp. Technically ( to abide the Mfg'rs instructions) you dont even have to run it the WHOLE time, for instance OFF at the low speed / in-town sections. Just pull over and fire it up at the On Ramp. Thats less risky regarding overheating.
Not that pulling the shaft is much trouble, but there is a point I would rather waste some gas in the toad , than yank / install the shaft.
Also there is some fluid leak when the shaft is pulled, if yours requires pulling the yoke out ( not all thes shafts REQUIRE that, some are bolt up joints in front too) and dirt gets up there, etc. There is a SST plug made to close off the output of a trany with the shaft pulled, I never saw one in RL, not sure how hard to find. You could always "make" one from the front yoke of a scrap shaft, too.
last, a van load of us coming done a very long slope shut off the eng / auto trans. We were doing 60~80 for at least 1/2 hour without a drop of gas. Started the engine when some one piped up about the "dry tow" analogy. Never noticed any issues afterward, for what thats worth. I would guess like most other 'manufacturers warning" that the "town no more than 30 MPH for 30 miles" rule of thumb is quite conservative