It's a go! I found out that Silver Sneakers (Medicare Health Program, https://www.silversneakers.com) for gyms that honor this program, pay per visit, not per month, so if the gym honors the program, you can enroll in as many gyms as you like and jump around as needed. I've not yet figured out who exactly is paying for this, if I am though my supplemental insurance or if Medicare just pays for it, but the gyms require no payment from me.
Thanks for reminding me to look into this. I found out awhile ago that a gym in a college town not too far from me has begun to honor the program and I mean to call them for details. I've sometimes maintained memberships in that gym before during winter, because the hills to get there and back aren't too bad. In that season I'm not inclined to drive over the mountain to a mall where there's at least a course laid out for safe walking indoors in winter. Safe walking, si, getting over the mountain maybe not!