Most venues require liability insurance in case guests damage private property. The wedding party provides that insurance. You have to document the incident and the bridal party's insurance should cover damage done by an inebriated guest.
Again back to damaging your reputation.... I would pursue it through your insurance first. While the brides insurance might cover it, they will possibly be anywhere from hesitant to peeved at using it on your account.
I would check with the newlyweds first (or parents, if they're already off on honeymoon), to see if they have this kind of coverage. I can't imagine why they would be peeved; it's one-off coverage, not ongoing like car insurance. If I were the groom and my photographer came to me with this kind of claim and I had purchased the insurance, I would welcome a claim (unless I was liable for any deductible), because then the price of the premium wasn't wasted.
If I inquired and the bride & groom did not have this coverage, I would just tell them OK, thanks, and then take it up with my own insurance provider.
I like this advice the best. Be civil (as you've already shown you are), and simply explain that a guest ran into you while you were loading out and it caused you to drop your incredible camera. I imagine it will be received well.