Alice would also think about expanding your definition of sex. Perhaps, you need to be more clear on exactly what your needs are, or what needs the behaviors might be fulfilling, or possible other ways to get to the same goal. For example, perhaps the need for intercourse would abate if you took a couples massage course together. Think about the idea of seeing someone to talk with about this. Couple counseling is one option, but Alice wouldn't hesitate going into individual counseling if he will not go, for whatever reason.
Life is too short to spend it feeling angry.
A counselor can help you figure out your options. Communicating clearly is a skill that can be strengthened, and talking with someone may be the next step in bringing you one step closer to your perhaps newly redefined goals.