As long as you are cutting down hill, shouldn't be difficult at all to get a good edge. I would use a jigsaw first, staying about 1/8" or less, outside the line, and then using the template, take it off in a single pass using the Festool OF 2200 router. You would have to flip your pieces in order to cut down hill, but this will result in the best cut by far.
Are you using the same templates to cut the hard maple wraps as well? If so, same method should work for them.