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Could just be coincidence that the power drain occurred while being towed, and would have happened while simply parked. You give miles, but not days.
I've not done any towing, so maybe this is a stupid Q: Why, if the front wheels (I assume front) are on a dolly, do you need to leave the keys in to have them unlocked?
The key position could turn on accessory power and you could have something plugged in.
In any case, the solution is to trace which circuit (fuse) is the source of the drain using an ammeter and pulling fuses one by one. Or disconnect the battery when you're going to do it again.
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