Because you're only cutting and not shuffling, we all know that the order of the deck isn't changed.
Okay, you don't need a st****d deck, but all you need to know is the card immediately before each of the aces .... I'm assuming that the cards are dealt face up, so you can see the value of the cards as they're being dealt ??
If the cards are dealt face down, you can mark the aces beforehand, with a very small nick that you can feel with your thumb or finger as you deal them. This method allows the spectator to shuffle the cards if they wish, you just need to secretly feel for the nick before you deal each card down onto the table.
EDIT: I've noticed that you said you could do it blindfolded, so my first method is out, but my 2nd method should still work