you can get cooler wraps, i have a calin bleu gauze wrap which is very light weight and airy. i'm always cooler in my maya tie though (similar to a mei tie). i usually only put him in a nappy and vest, and i often only wear a bra and vest top. i also carry a small fan, and big bottle of water, lol.
are you certain that you are overheating in a normal manner, no more than any other person might? because i used to always overheat really badly (that was when i got the calin bleu!), i thought it was because of my weight but actually i had an overactive thyroid. once they sorted that i cooled down a lot.
eta - i used to absoutely cook in my moby!