I know people swear by Wiener's Circle (no pun intended), but I've gotten far too many soggy buns with their dogs. They definitely aren't carry out food.
The stand on Western and Howard, just over the Chicago border in Evanston (I think it's called Mike's?), used to serve a really great Chicago Style Dog. I haven't been in a while and I imagine West Ridge is not on many tourists radars.
I've always felt SuperDawg was underrated. Great crisp bite to their dogs, and the fries are to die for; or will at least be a contributing factor to my death
.