Near optimal holdem play with one round of betting

Consider the following simplified version of Texas holdem, with two players Alice and Bob: Alice and Bob are each dealt two private cards. Alice posts a small blind of 1, Bob posts a big blind of 2. Alice either folds, calls, or raises by any amount $\ge 2$. Bob either calls or folds. Five more shared cards are dealt, and the winner is determined as usual. Both Alice and Bob have infinite stack sizes, so only expected value matters.