We will be in St. Thomas in May for a wedding. We'd like to rent a house for 4-5 days and leave for the BVI after the wedding. We'd like a house with 2-3 bedrooms (depending on the bed situation), with a pool and on a beach if possible. We really don't want a condo or hotel/resort. Any suggestions?

Check vrbo or airbnb. Our son had good luck in 2018 finding a summer rental on St. John through them so I assume there would be listings on St. Thomas as well.

If you want to be near Red Hook, we used one on Dexter's AirBNB condos in May. (He has several overlooking Benner Bay)
Great host and very nice clean units. He is right on site to help out with any issues or questions.
No pool but small secluded beach within walking distance. Shopping and restaurants near by.
He also has a car rental company. Will pick you up and drop you off at STT as part of the deal.

ABNB Dexter