just about any standard could work in this configuration. Ive done gigs with just myself and a vocalist. You just have to adjust your playing a bit (adding double stops, walking more often, etc.). Also, if you plan on soloing, you rly have to adjust so that youre more or less comping for yourself. So i tend try to establish the groove, and throw in some roots on the downbeats, and play fills throughout. It also doesnt hurt if your playing with a vocalist who listens well, and is sensitive to make sure youre not over exposed for too long. IME, fast swing tunes work really well.
Heres a great example. Larry does a great job of mixing up his rhythms and using the triplet to give the song some forward momentum. He also does a great job of comping for himself while he solos. Rebecca Martin & Larry Grenadier - YouTube