I weigh more than 230 pounds and i can run on many shoes.
I also work at an athletic shoe shop. We specialise in fixing problems like this.
you may be rolling in or rolling out...or not have enough shock dispertion in your shoes.
most common is rolling in.......but i would make sure and get someone to check out your shoes and watch you walk.
Look at the bottom of your old shoes and see where the wear is. forget about the lateral side of the heel. that ishwere you strike...so that is normal.
look at the tread on the forefoot, can you see a pattern of wear? if the medial (inside) side is showing significant wear on the outersoul (also compression of the midsole (ie wrinkles) on that side) then you may be rolling in. wear on the outside of the outersoul would suggest "under pronation/supination" rolling out. if the wear is fairly even then you will need more cushioning and new shoes.
supination is treated with a semi curved last (look at the bottom of the shoes....if it looks curved its okay) and great cushioning.
Asics kumos, and cumulis, brooks glycerin II, saucony trigon or jazz 8s, new balance 1022 are all good.
If you are rolling in go for a shoe with a straighter last, and also a "dual density" which is a grey area in the shoes (medial side of midsole) that is harder than the rest of the EVA midsole.
"asics" 1080, 2080, kayano, creed plus, "brooks" vapor, addiction, trance, "saucony" omni and maybe vision.......there are hundreds to look for.
also many sports shoe shops should sell insoles. DONT COUNT THESE OUT. You weight more than average, depending on yor gait cycle go for an insole. I have a neutral foot (doesnt roll in or out) and i wear highly cushioned insoles to take pressure of my feet, and knees. Also the insoles will help delay the break down of the shoes