It really depends on the rules of the coupon. Do you lose it on a win, lose, or push? Do you keep it on a push but lose it on any win or loss? Do you only lose it when you lose the bet?
For the first two scenarios, three card poker gives you the best expectation, and for the third scenario, a good blackjack game followed by betting the don't on craps are your best options.
See the section "Funny-chip Follies" in Beyond Coupons.
Edit: I just noticed that it's a $10 coupon, in which case betting the don't will be less optimal. If there's a decent blackjack game, that's your best bet. In this case, we're just looking to minimize the house edge that we're wagering the $10 coupon against.