Hi,
Just had the same problem a couple of months ago with my Cabrinha icon.
I used Diggers fiberglass resin bought at Bunnings and never had problem since then (sure they're not the cheapest for this kind of product but at least you'll find it in small quantity).
To get a clean and solid repair this is how I've done: dry the board, prepare two pieces of 150x100 6mm thick plywood covered with tape and with 2 holes spaced according to the fins' fixation holes, 2x nuts 4xlarge washers and 2x30mm bolts that fit in the fins' fixation holes.
Fill the damage part as much as you can with the resin (don't hesitate to use a flat screw driver to open the gaps), place the two plywood pieces bolts washers and nuts as you guessed they should be , tighten the whole, and wait until the resin's totally dry.
I had to fight a little bit to take the pieces apart, mainly for the bolts, the resin doesn't stick to the tape. Once it's done, I used a brand new cutter blade to remove the resin excess.
An other tip: go to your local pharmacy and get yourself two syringes. Enjoy the chemist who stares at you thinking: "I'd never thought he was a junky", tell him you're fine, you're just addicted to kitesurfing and that there's nothing like syringe for an accurate hardener/resin mix. (as it's more or less 3:100 for fiberglass resin)
Happy repair