Small fortune because you have a funky prescription?
Prescription not funky, but at least when I originally got the sport lenses, only a handful of outfits could grind the lenses to maintain clarity in the peripheral field due to the curvature of the lense. I have been happy with the product from an outfit in Colorado and have reordered subsequently from them. I could probably find more that do the heavy curvature these days.
I originally started with non-prescription glasses with a prescription insert, not a fan of those.
So maybe try a pair of non-sports glasses, just from a local optician, and tell them you want to have the bottom part cut of of the lens so you can see under them. That's what I've got, and I'm about to get a new pair because the old ones are getting worn out. In my case I simplified my prescription, and I got glass lenses because I know I can put Rain-X on them.
I've got a super cheap pair of polycarbonate safety glasses kicking around (kids had to have them for shop), I may try grinding a bit on those for practice rather than experiment on the good ones. Should be enough to determine A) if I can do it without trashing them and B) how much to cut away to be able to map read and still see terrain. Not worried too much about protection inside and low as any sharp pointy branch is probably least likely to come from the direction of my nose... :-)
Trying to think, maybe it is Tony Muffatti who has some safety glasses ground down for seeing the map (the opposite grind of what you need). He did a nice job with it.
As far as sticks, the only stick I got actually in my eye was the first time I wore safety goggles. Somehow they funneled it right into the corner of my eye. I was amazed at how far a stick can go in and not cause any real damage.
Glasses ground.... not 100% symmetrical, but they seem to work well. Will try them out for reals tomorrow...