Street Docs, Armorers, Deckers, Mechanics, Strippers all work at a low connection rating for simple things. Keep your expectations low, but adding gun/armor mods, simple matrix searches, patching bullet holes in cars or characters, installing cyberware you've gotten from somewhere, low availability gear, or as a distraction in a Con game.
You're not going to source Deltaware from your Connection 2 Street Doc, but installing off the shelf Muscle Augmentation is no problem.
Not every contact needs to be a former street legend.