I have dried out a boat with wet core. The process was the result of several experiments on a test panel, and then the boat itself.
0) Find the source of water ingress, or the whole exercise is pointless.
1) Map out the area that is wet with a good moisture meter (after learning how to use it).
2) Tent the boat to the waterline on hard ground or preferably pavement. Run a dehumidifier inside to dry the air in the tent.
3) Drill 5/16 holes in the skin at the wettest point or in the middle of the wet area, screw in a push-to-connect 1/8 NPT fitting, run 1/4" poly hose to a Gast vacuum pump, apply vacuum. Drill additional holes around the first one, a few feet away. Dry air will enter those holes, pick up moisture, and exit through the pump saturated. For quite a while there will be no change on moisture readings (like a couple of weeks even), then rather suddenly the moisture will be gone and it will read dry.
4) Move the vacuum to different wet areas, drilling new vent holes as necessary. Plug most of them with 1/4 push-to-connect plugs. By selecting the vacuum point, and open holes, you can steer the air towards and through the wet areas. Eventually you will dry the whole area as read on the moisture meter. By listening to a vent hole with a short length of tube held up to it, you will be able to hear the air going in if things are working right. There may be dams of resin blocking certain areas from certain directions, a bit of detective work with the moisture meter will suss this out. If water got there, you know there is an air path there. It helps to take a allen key or similar bent object, and poke laterally through the foam in 4 directions, as the hole may have been drilled in a block of foam between kerfs. Keep moving around, drilling new holes as necessary, until the entire hull reads dry. Be patient, it is a slow process.
5) Get a custom router bit made, as large as will fit in the base hole (about 3"), with a 5/16" pilot, and flanks sloped at 12:1 (the proper scarf for fiberglass). Plunge into the holes to create a shallow 12:1 cone cut in the skin. Fill the hole with West Six10, then two disks of 20 oz biax cloth with epoxy covered with peel ply. This should pretty much fill the indent. Fill over and fair. You can patch maybe 100 holes in an hour or two this way, another couple of hours to fair. Barrier coat and paint.
If a large area, this may take several months, the boat I did took 5, running 24/7. However when done, the core will be dry, not just drained. While it may sound extreme to have 100 or 200 holes in the bottom, the result is without doubt better than deskinning large areas and relaminating. Any subsequent survey will reveal a dry hull. If you just let the water run out, it will still be wet and will indicate wet.
We tried other methods such as heat, and blowing (carefully regulated!) dry air through. The vacuum pump, drawing dry air in, was the best and least dangerous and destructive method. It could be done from the inside skin and that might seem attractive as no holes would be made in the outside skin, but it was practically impossible to get to all the areas, and patching them harder still.
I found the point of ingress by carefully (!) pressurizing the core. This revealed a through hull penetration that had been backfilled with thickened epoxy, however when the epoxy was mixed, air was entrained and the resulting fill just porous enough to allow water in. To pressurize the core, a precision regulator set to 8 psi was used, backed up by a back dump regulator set at 15 psi as a safety precaution. By chance, I heard the air exiting at the faulty locations. A soapy spray would have revealed them more surely.
It should be pointed out that while freezing is a theoretical concern, in practice the water is in very thin capillary slivers in the foam kerfs and seems to do little damage, unless there is already delamination filled with big pools of water (such as in a sailboat rudder). This is from observations on seriously wet cored boats in the Great Lakes areas, stored outside with numerous freeze thaw cycles each winter for decades.