Problem-engine turned off, AC blower blows, windows work,lights on, no radio or cig

Hi, new here, and I have a strange issue y'all might be interested in and maybe have an idea what's happening. I spent 3 hours at dealer yesterday and they couldn't figure it out, I was told they had to send some kind of incidence report?? to Toyota and they'd call me Monday [Friday was day I took it in]. 2013 Prerunner access cab bought June last year, 22K miles. As I tried to squeeze into title, I turn the truck off, even remove the key, and the AC blower is still going, the lights stay on, the windows still work, can't use remote because it thinks the engine is going [I assume?], but the radio doesn't stay on, the cigarette lighter/power outlet is off, all the dash lights off except airbag. Runs great otherwise, no problems.

Yesterday was second time I took it in, first time it wouldn't exhibit the symptoms, plus they tried to blame it on my aftermarket battery terminal being loose, so I made sure it wouldn't come off if I totaled the truck, and fortunately it did its thing when I brought it in. If I park it and not remove a battery cable, it will drain the battery within a day, sometimes much quicker than others. And it does seem to not happen sometimes, but will still drain the battery even if the problem didn't seem to happen when I killed the engine. Since I live a bit over an hour from the dealer, it's a little difficult to take it in.

Any ideas anyone? I've lurked around here before, very good forum. and searched quite a bit before I posted, couldn't find a search that didn't return many many pages of stuff, so sorry if I missed anything, but this seems to be a real puzzler. Should I be proud that I sent the dealer running off to Toyota? Seems like some kinda accomplishment. Thanks for any info, it's appreciated, it'll help if they point at my terminal again.