You can stick a flush trim bit into a handheld router, and use it to follow a template to smooth out the bandsawn piece. You need a template of course. I like 1/4" hardboard. They make flush trim bits with the bearing on top (close to the router plate), and the little bosch should have no trouble trimming off 1/16" or so. Its small base plate makes it hard to keep square on an edge. Remedy that by making a temporary, larger base plate for it. With any wood you may have tearout when you get to grain running into the board. In those areas I'll flip the board over, swap the template to the other side, so all cuts have the grain coming OUT of the wood.