I'm not sure why you want a 3hp drive for a 2hp load, unless your'e a fanatic for safety factors, or planning a motor upgrade, or multi tasking? The single-in / three-out specified drives are built for the purpose, meaning a 1ph-in/3ph-out 2hp vfd will work fine with a 2hp motor.
A popular choice is the Hitachi SJ200 series, I believe these are sensorless vector, and popular for price. The majority seem happy with these.
The different drive types incorporate different control circuitry and generally have a best fit to the type of load you are driving, e.g. Phase Converter (picked an easy one, as the name implies) is simply an inverter for single to three phase power and are generally larger in size/capacity and bigger intervals between models/sizes and cost.