About sanding the perimeters of bodies, Yes, I agree with mapleglo that the best way to avoid router tearout is to....not rout the perimeters! I did that for a long time on my Scroll Bass bodies. Bandsawing them to within 1/16" of a pencil line, then cleaning up most of the perimeter on the edge sander. The large concaves on the sides of the body were smoothed out on the end roller of the edge sander. The small concave at the cutaway was on the oscillating spindle sander. The last step was hand sanding the perimeter with hard flat blocks to smooth out any little steps or bumps.
That made the perimeter into a smooth square surface, with no lumps or waviness or tearout. From there, I'd use a hand router with a radius bit, bottom bearing, to radius the top and bottom edges. I'd do that in three steps of depth, with the last one a very small cut. To prevent tearout. And then hand sanding on rubber blocks to blend the radiuses into the straight edge.
That's definitely the most reliable way to finish-shape the perimeter of a bass body. It takes a lot of time, and it's not real accurate to a pattern. But that's fine for one-offs and customs and limited production. That's what I recommend for most small builders.
Cutting the perimeter by routing will be faster and more accurate....but there's an investment in tooling and working out the process. Usually not worth it for a one-off instrument.
Back in the earliest days of building my Scroll Basses, I did work out a process of routing the perimeters with a big hand router, a custom shaped bit, and 3-stage pattern fixtures. I got the process to work pretty well, but I still had some trouble with tearout. Particularly with ash bodies. So I went with the edge sanding process for a long time.
These days, I'm playing around with the big pin routers. With them, I can accurately follow a pattern and control the depth of cut. I can now rout the full perimeter of a walnut or poplar body with no tearout at all. The main advantage of the pin router is that changing the depth of cut takes, like, 2 seconds. So, it's actually very quick to do the whole perimeter of a body in six light passes. And the shallow passes are what prevents the tearout.
I've also messed around with "Robo-Sanding"; that is, power sanding to a template, which is riding on a bearing wheel. Years back, I modified my edge sander to put a bearing wheel down below the end roller. It's the Robo-Sander idea, but with a long sanding belt and a big motor. I made it specifically for doing body perimeters. I mounted Scroll Bass bodies on a 3/4" MDF pattern and ran them along the bearing wheel. The edge sander had plenty of power and belt length to sand away the wood quickly and not clog up.
It kinda sorta worked. But it was still somewhat uneven and lumpy. I'd end up taking the body off the pattern and cleaning it up by hand, on the edge sander and with a block. What I learned is that pattern-following sanding (Robo-Sanding) wasn't really giving me any better results than bandsawing to a pencil line and smoothing it out handheld on the edge sander/spindle sander. And it wasn't saving me any time.
I still have that bearing wheel rig on my edge sander, although I haven't used it in many years. I'll take some pictures of it if you guys are curious.