Fucky thread.
Give the hospital your health insurance info. They will cover the bills. Should have done that in the beginning because that care was 'emergency' and any out of network providers would be paid usually without much of an argument.
Now that it is not emergent, you are gonna have to shop for in network providers (depending on your health plan obviously) and it is going to be difficult to sort out the billing.
On some plans, if it's not an emergency, and you visit an out of network provider, you can be balanced billed by the doc.
Any bills paid by your health carrier will most likely have to be paid back, out of any bodily injury award you receive... Assuming there is no dispute over fault. They will send you or the at fault adjuster a notice of lien.
Who paid to fix your bike? Are you dealing with the other company's adjuster? What are the BI policy limits? If your bills are getting up there, you want to let that carrier know their insured is exposed.