Larrysr1957,
You CAN tow some 2WD automatics four down. Our Honda Odyssey is just one example out of many. However, as the years go by, the selection of models seems to be dwindling.
Can you tow a vehicle with the engine running and in neutral? Sure. Should you? THAT, I'll leave up to you. I wouldn't do it with my vehicle. What if the engine stalls?
There are other options. There are tranny fluid circulation pumps which can be installed and there are driveshaft disconnects which can be installed, to name two. Of course the tranny fluid circulation pump could fail and the driveshaft disconnects can sometimes be temperamental to get them to engage/disengage. I've read about both of these issues, though rare, on these forums over the years.
Or if you're not going to tow too frequently, there are some who just crawl under their vehicle and disconnect the drive shaft for the trip.
OR, and my suggestion, find a vehicle which CAN be flat-towed and trade your current vehicle in for one of those. Follow the towing instructions TO THE LETTER and you should be able to tow about as "worry free" as possible.
If you weren't aware, there is a
Dinghy Towing section on these forums. Have a look to see if that helps give you some ideas.
Good Luck,
~Rick
