Be very careful with real heat guns. These things get very, very hot and can blister and burn gelcoat quite easily.
I would also advise leaving the skins in place and removing a bit of core. The skins are your strength and the bond of epoxy to moist wood is next to nil so over drilling damp core will leave you with a very weak plug and minimal to no bond strength.
Use a light bulb or a vacuum method as a trial or cut the decks open and repair them correctly. You don't really make it clear of this was just moisture that got in there after you removed the bolts, and did not cover the holes, or this was an on going long term leak due to bedding issues.
The sad reality is that if the decks have been leaking for a while there is no real way to dry them other than to cut them open and replace the core.
Injecting anything into wet or damp core also achieves basically nothing except making the proper repair more difficult when the time comes...
The strongest method for potting deck core holes. Note that the "plug" is captive and the top and bottom skins remain intact leaving the integrity of the skin laminates untouched:
Optional methods that are weaker and less strong than with top and bottom skins intact. The one on the left is a complete over drill (probably the worst choice) and the one on the right is a top skin over bore only (slightly better)..