double for less
Suppose you split your A's against a 10 up with a $50 bet, and on the first A you receive a 2. Would you stay on 3/13 or for the table minimum (usually $3 or $5 in these places) "buy" the double down card? Obviously if the play called for a normal DD, i.e. A'6 vs 6, you would double the full amount. The Wizard has the strategy in the appendix as well.
I dont go up there (Northern Michigan) much but I think for the minimum, I would take the 3rd card. Maybe someone here can run some sims about this rule. These are usually decent places to play and I have never felt any heat playing at any of these places and I spread pretty decent.
P.S.
Playing rules are as follows: Little River Casino, 6D, DOA, DAS, resplit to 3 hands (except aces, split once but double on them allowed), no surrender. Kewadin Casinos are the same except they have LS. The rules only pertain to the 6D shoe.