The AMA's towing is limited to a very short distance, only 30 miles. Truly useless for touring, or even going to the next city!
From AAA-South in my region I added motorcycle assistance to my AAA "Plus" membership for not too much more per year, only around $35 above the regular cost, as I recall, and includes four tows of 100 miles.
This link is the AAA-South's member's benefits handbook (PDF). In glancing through it just now, there is more coverage than I had remembered. I suggest searching the PDF file for "motorcycle" to find the relevant passages. AAA in your region may have other options or limitations.
Don