Some years ago I designed a new location for the neck strap button on cutaway guitars. Having it recessed a bit into the body keeps it out of the way, yet still easily accessible and very secure. This was a trick I learned from the improved deck rigging designs on modern kayaks;
It's a little extra work but, it's included with a cutaway. In order to set up I select a block of whatever wood the binding is going to be and laminate the purfling lines on the one side I won't be able to get to later. This is then cut through the sides into the heel block. Now there will be the wood to cut into to create the facet and properly anchor the strap button:
So there you have it!
Mark