I know this will be hard to answer - does the harness rub when its dry, when its wet or both? If both, it may be a touch tight - can you slack it off? If it is tight, adding padding will just make it tighter so exacerbate the problem.
I have a harness for my furry buddy and was amazed how big it had to be once it was properly measured (how can a Jack Russellx be a medium dog but he is)
Instead of a bit of CCF mat, get yourself down poundland, they do a poor mans version of a pile/pertex dog coat for £1 -pair of scissors, bit of thread, pile side in so its fur against fur?