Sorry to hear about your problem. Looking at the pic I would think the problem can be easily welded.
If you look on page 32 of the Hobie Kayak Accessories catalog ( http://cdn.hobiecat.com/digital_assets/ ... 130424.pdf
). You will see Hobie sells a repair welder for repairing kayak hulls. I have watched them using one of these at Economy Tackle in Sarasota, and they are true wizards at repairing kayaks (very competent), I have heard many good things about the guys up at Tackle shack up in St Pete as well ( a little closer to you). Even if you have to pay them a pittance to do the repair work, I'm pretty confident they have the skill level to pull off the repair with a much greater chance of success than if you bought one of those welders and try to weld it yourself if you have no direct experience at that kind of stuff (welding and plastics).
My plan of action if I were repairing it myself would be to go buy one of those welders (it comes with a supply of the correct plastic (most important)). Most Hobie dealers stock them or you can order here ( http://www.austinkayak.com/products/158 ... Stock.html
), the welder and a supply of Hobie rods in several colors is around $62 bucks (probably a worthwhile investment for any Hobie owner, and is on my Christmas list).
I would then weld the hole shut from the outside and make it flush with the existing features in the mirage pocket. I would probably figure out a way to run their plastic through my standard glue gun to do that part of the repair (plunge the tip of the glue gun into the hole, then back fill on the way out). I would then go to the inside and slowly and carefully build up the entire area around the repair with weld using the KC welder, it's on the inside of the hull and nobody cares what it looks like, if you build up a inch wide area at least 1/8 inch thick above the old surface it shouldn't hurt a thing. The important part is to do it slowly with as little heat as possible, running water onto the area you are working on (on the outside of the hull (where the mirage drive goes) (not on the surface your working on inside the hull DAH)) will prevent you from overheating the hull, and the area around the repair.
You might be able to do the whole repair with a high temp or multi temp glue gun, but I think it will turn out better if you use the right Hobie supplied plastic (that comes with the KC gun), however their gun is not really designed for doing some parts of this repair (fixing the hole itself), as it has a flat pancake head designed for repairing scratches and gouges on the outside of the hull, and might be difficult to make work for the 'fixing the hole portion' of this repair.
If you run into brick walls with the dealers ( I strongly doubt you will), and don't feel confident doing the repair yourself, and if your willing to bring your boat and KC welder ( I don't have one, but it's on my Christmas list), down to Sarasota, we could do the repair in my garage, then go out sailing afterwards (it'll take about an hour to repair).