I have done this
I recently cut the sole out of my 22. I used a circular saw with the finest blade I could find (155 teeth, a 'finish' blade). I duct taped the line to be cut in order to prevent/reduce splintering. This worked very well except for the corners that the circular couldn't get to. I scored these with a hand held razor saw and hoped they would snap cleanly, they did. I was able to get the top 'skin' off intact. The 22 uses 3/8" scored and scrimmed end-grain balsa for its core material. I am sure that you could use Starboard for this application but I believe there are better choices. First of all the starboard is much more expensive and I can't locate it in 3/8" thickness (2'x4' piece of 1/4" starboard is about $40 compared to about $16 dollars for the same size end-grain balsa), second you will have to cut it into many pieces to match the curves of the sole (my sole was slightly convex... I guess I can't speak for yours). I have heard of many people using marine ply. Balsa is incredibly strong as a core material due to the orientation of the grain, it is also very easy to work with, the least expensive option, and is also what the original builders used. I would save the starboard for cabinets and the like and get some scored end-grain balsa.This project is not that bad, just make sure you have the depth set on your saw blade to something like 1/4", especially where the sole is soft b/c it may be rotten underneath. It is also incredibly messy, so get yourself some nice goggles and a respirator.There are some pictures of my project on the following link. Good luck with this!