FWIW, FAA medical doesn't check for depth perception. I second that your best bet is probably getting your recruiter to take you to a military hospital or if you know any Flight Surgeons personally to administer the test.The results from MEPS says I have 20/20 vision lol
Plus, last year I took the FAA medical exam and I got a 1st Class Flight Medical. All together shows that I should've passed the MEPS without a problem.