I don't know about the laws in the state you live in - but in both states where I've worked in insurance, a dog but is ALWAYS covered by the owners homeowners or renters policy under the liability section. Also - if they are renters and don't have a policy, the landlord sure does and it would fall to them. In the end, as long as you weren't somehow abusing the dog, the owner is 100% liable for the dog biting you and all of your medical bills should be covered completely. It sounds like you've already got some kind of case going though - so you probably know all of this... I hope you're healing well.
Thanks for the input steve, this is my first time navigating something like this and I'm finding it fairly stressful. I actually got notification from the court yesterday that the city has ordered that I be reimbursed for my out of pocket expenses, so that aspect of all this is looking up. And I think I've gathered enough information for my insurance company to explore their subjurgation (sorry, I don't have a spellchecker installed right now). At least, their investigator hasn't told me I need to supply anything else yet.
yah... mostly sorry you got bit. That's pretty crappy. But having to pay for it is just as bad. If they make you whole on out of pocket expenses, lost wages, court fees, time wasted, etc..... GREAT. If your health insurance company wants to subrogate back against their homeowners policy... so much the better... but hey. Either way - I hope you're made physically, emotionally, and financially whole.