I too am tired of carrying water to a brewstand. I know exactly how you feel.
I am also tired of not having a sink in close proximity to my brewstand.
I will be brewing in a garage that has no running water, let alone a nice sink close by.
I got around this problem by designing a brewstand to be connected to an outdoor faucet that has a built in on demand hot water heater and an on board sink.
My build thread is here.
While the sink on my brewstand is not as nice as some of the big SS restaurant sinks or a laundry tub sink, it will be miles better than running (literally !) into the kitchen every time I need to wash something.
Kudos on acknowledging what a problem brewing without live hot water is and your approach to solving this problem.
Were my situation different, I would have done something similar.