yeah, you can run your water up to a valve at the seat, but why would you want to do that with logs. Ideally you would do it to control the water going through over transoms (shut it off at idle) but with logs you just set it and forget it.
about the fuel valve, just get an electric one. the one linked by yourmom is a bit pricey and complex but gets the job done. I have a simple one that appears to be out of a car/rv and it works great. not sure what its from though.