Hi Dan,
Sorry to hear this, not nice for all concerned. I’m only replying to save you a lot of needless time, and possibly money. I can’t comment on the Sony overheating and causing a format or corrupting the card, but I do have a lot of experience trying to rescue footage and stills from Sony formatted media.
As far as I am aware – and I’d love to be contradicted with proof rather than links to purchase ‘free’ software – a Sony format is destructive and they absolutely cannot be recovered. Apparently Sony’s overwrite a card with 000’s when you format them.
Again, I’d love to be contradicted by a fellow Sony user or rep who has a solution.
I have downloaded just about every program out there with a free trial, and that combined with the above means I’m sure it’s impossible. I’d suggest speaking directly to Sony for an answer rather than spending hours looking for a unicorn app that can reverse time.
Sorry to be the bearer of bad news but I saw your issue and wanted to at least save you a lot of frustration installing apps.
Good luck and all the best –
Brett