I have had some claims in the past. I negotiated with the opposing insurance myself, no lawyer but the injuries were nothing serious, a day's pain, that's it.
I got my truck paid for (had to negotiate a bit on price, not hard). Got all my medical bills paid for. Got my dirt bike fixed (it was in the back when the truck rolled due to somebody running a stop sign). I took a nice ride in an ambulance, mandatory in a rollover. My injury was a pretty good laceration to the top of my head when the vehicle rolled, no stitches required, like somebody took a belt sander to my head for about a second.
I cleared $6000 for one day's inconvenience by simply not accepting their first offer.
Your deal is different. First off, you're a nice guy (I'm not, I enjoy negotiating, I consider buying a car fun, some consider it torture). Insurance companies love nice guys, they're easy to screw over because they don't wanna cause any trouble and want to be fair. So in my opinion, assuming all is paid for (bike, medical bills, lost wages), your rib feels fine in a while and you have no long term lasting issues and judging by the amount of pain I am reading into your post, getting 5-10k minimum is a walk in the park, a day at the beach. More would not be difficult in the slightest.
The bike, medical bills and lost wages are a given, know what they are and assume they will be paid. Now it's just pain and suffering. Consult with a lawyer in advance and see what he says, one of those free consultation things. If you go it alone, simply don't accept their first offer, it's a lowball deal and they plan to pay more, they're use to people who try to sue them for a million dollars for whiplash etc. You think you're being a pain to them and you're worried about it, you're not. Don't take their first offer and when they come back, if it's fair to you and you're comfortable you are or will recover (always a risk there), take the 2nd offer. If not, mention a lawyer. "I was talking to my friend Bob the tax lawyer and he talked to Bill the litigator in his office and he said X is fair and he'd be happy to take the case". Bear in mind, a lawyer takes 33% so their payout goes up a lot. Lawyers love to be jerks and they know the system.
Good luck.