From Professional Blackjack
If you are playing shoes, it isn't basic strategy to double an 11 versus an Ace. According to the charts in Professional Blackjack, by Stanford Wong, the six-deck expectation for doubling 11 versus 10 ranges from 0.174% for a 9-2 to 0.178% for most of the other hands. Hitting gives you 0.117% to 0.118%. So, you lose around 0.57% each time you hit instead of stand. If you are in a single deck, h17 game, the percentage for doubling an 11 versus an Ace is 0.189% for the 9-2, to 0.240% for the 5-6 combination. Hitting ranges from 0.170% to 0.173%. In that single decker, you lose from 0.019% to 0.067% by hitting that hand. For an 11 v. 10 in a single decker, the expectation ranges from 0.130% to 0.141% for hitting, while doubling yields from 0.181 to 0.233, so you would lose from 0.051% to 0.092% for hitting.
If you look up the hand frequencies, you could compute the overall loss for not making those plays.