Hmmm....only thing I know to do, then, is to check the wiring and be sure there's a current going to the battery when the lights of the TV are on and it's connected. I usually go 2-3 days without starting the toad when we're headed out to somewhere to stay awhile and never had a problem. Possibly you're got a bad connection where the charging wire ties into the toad light wiring?
2015 Legacy SR340 360RB
2014 Jeep Wrangler Unlimited Toad
Gigi, Poppy and Sadie Lady...On the road, but not full time!