IMHO, assuming that you don't need 50Hz, a dual winding transformer is the way to go, and you can 'simply' get a transformer wound for 208V primary and 380V secondary.
A 'buck-boost' arrangement is certainly possible, but won't really save you much in terms of transformer size or cost. The biggest reason to use a 'buck-boost' arrangement is the possibility of using standard 'off the shelf' transformers for the task.
Just because a particular voltage change isn't in the buck-boost selection tables does not mean you can't do it. A 'buck-boost' transformer is an ordinary transformer just connected differently, and they don't list all the possible connections.
For example, using a 120/240V to 16/32V transformer, you can take 120V and supply a single primary coil. Then you can connect the second 120V coil to get 240V, and finally use the 16V secondary to 'buck' back down to 224V. This is probably not the most efficient arrangement, just one that I could think of quickly.
Call one of the 'buck-boost' manufacturers to see if they can provide you with a transformer selection and a wiring diagram. Then you can decide if it makes more sense to use a buck-boost or a more custom dual winding transformer.
-Jon