Running your heating line through will work I run mine under the flooring instead of behind the furniture and it warms it up and keeps the bilge dry.......
I was thinking that I might do that w/ the hydronic loop.....nothing wrong with warm floors when it's cold and nasty outside. But I've gotten pretty spoiled by warm, dry cupboards on our currentboat, with the loop running throughout. Will see what looks like the most straightforward run.