1" is way too much to ease in. Especially if you plan on loading this on a frame, it will cause you untold amounts of angst and grief. Yes it will also result in wavy edges. I speak from experience here.
Are all 4 of your pieced borders too big? If so then you can put a narrow inner border to account for it as petthefabric suggested. If you post a pic of it we may be able to offer some other suggestions.