It's not the length that makes them Mexican wraps, it's the material. No full size male should be using wraps smaller than 180 inches, there's just not enough material.
You can get cotton wraps-traditional ones - or you can get the ones that have a small amount of spandex in them, giving them a little stretch when you pull them. These are the "Mexican style" wraps.
I started using Mexican wraps from TITLE last year and I've never considered going back. They're far superior as far as staying tight and not coming lose every time you hit a fuckin speedbag or something.
I agree on the knuckle pushups. I've also done some knuckle hardening stuff that I learned from karate back in the day to try and help.
remember though, bareknuckle boxing was VERY different. With no protection, fighters were very hesitant to punch to the face... lot more body shots and what not, and that's probably why the fights lasted like 75 rounds.
If you were a champ back in those days, you undoubtedly had superior bone structure in order to heap that kind of abuse on your hands. I could never do it.