Mine is like yours, only it is a bedroom drawer that has to be removed and it's still a stretch to reach. Glad I live in Florida, so I don't have to winterize.
Choosing a new location will depend on your layout. Maybe you could just bring them out closer to the front and reachable through one drawer rather than two+oven?
You don't have to remove the old one if its hard to reach - just splice in a new one in a handier spot. If you have the old three valve set-up, you might consider changing to the newer one or two valve design, which uses multi-way valves plus a check valve to do the job. Many newer RVs have just one valve to turn. This article shows the Camco two-valve kit.
How to Install an RV Water Heater Bypass Kit | eHow.com
You may find this article helpful.
RV Winterizing system Valve replacement
2004 American Tradition; 2014 Buick LaCRosse
Homebase in the Ocala Nat'l Forest near Ocala, FL