I wear this for the HPs and it happens to have str on it as well.
http://wiki.project1999.com/Hooded_Black_Cloak
Honestly I wouldn't be willing to sacrifice HP gear for STR gear. I will +1 the suggestion to use medicine bags if you aren't already doing so. If you are carrying regular backpacks then those are heavy just in themselves. Carrying 8 medicine bags vs 8 backpacks will save you about 20 in weight just in the bags alone.