Three years ago our sump stopped working. It took about an hour, but you can lean in there and take the screws off the top of the sump box. You will find all that hair you've been losing, along with some unidentifiable crud that you really don't want to understand, messing with the float switch. If you clean things up in there (don't worry, all the overflow goes to the bilge) you can get things working again. We shower a lot in the head and ours has yet to clog again.
However, beyond the new expletives that you will create and the cuts that you will get on your hand and possibly having to retrieve a screw or two out of the bilge---you will see why they put that sump where they did in the new 29S. Young arms like Kenny's and long skinny arms like Andrew's can make this miserable reach. Old, short, arthritic arms....not so good.