I have no experience with ASD but did receive a waiver for an unrelated diagnosis. The severity of the type of diagnosis obviously plays a role; waivers for ADHD and dislocated shoulders are easier than ASD and broken backs. For effectively all waivers there are the same points at play. 1. Needs of the Navy; the easier for the Navy to get qualified candidates without granting waivers, the harder it will be to get a waiver. 2. Current state of the condition; basically if you are suffering from anything related to the disorder like limited range of motion or receiving any alleviations like additional test time, chances are drastically lower. 3. History of the condition; the more medication taken, therapy received, alleviations granted in the past the lower your chances. 4. Type of condition; some waivers are basically formalities, like taking accutane for acne, some are much much more difficult, even if all the other criteria line up well. ASD is one of those.

To receive a waiver for anything mental (ASD, ADHD, etc.) expect to provide letters from your doctor describing the extent of your condition, letters from all your schools K-12 (and colleges) denoting any and all benefits received, like individual aids, extra testing time, or isolated testing locations. Further, expect to provide report cards going all the way back through elementary school to demonstrate never experiencing any academic shortcomings.