Take pictures of the car and then select a couple/few body shops using friend's reference, auto part store references, or rental car (Enterprise does quite a business from Auto body shops) employee references. You'd be surprised at what these people hear on the good and bad of each local auto repair business.
When you've found a place you like (it could be Gieco's body shop, or maybe not), then have your car towed there. When they give you the estimate upon sight inspection, call the adjustor assigned to your case and tell them the check isn't enough (assuming that's still the case). Adjusters are used to these calls. They really do get them all the time from their own body shops. It's hard to tell from a visual inspection what the damage really is. Once you take the car apart, other repairs become obvious, and they file adjustments with the adjuster. It's just the normal course of business. Don't worry about it so much.