I am so glad you mentioned those valves on ebay. I've always wanted to use ball valves and float switches for a surge, but industrial actuated ball valves are not cheap.I just never gettting around to buying a variac... I will stumble upon one at a fleat market one day.
The ultimate in no fuss silent and bubble free surges is an actuated ball valve connected your surge tank. Float switches, hall sensors, pressure transducers, optica switches or any other leve detection can be used. I prefer optical sensors.
Jandy pool valves and actuators are dirt cheap on eBay.
I have never seen a solenoid valve that is quiet enough for a living room(next to a TV). I had one hanging from a hose above my tank and while it was not "loud" it was a sharp 'click' that you could hear out in the driveway.... And, if you insulate them they will fry.
As for continuous operation of some valve, I wouldn't worry about it. What might happen is they start to leak a little.. Why would you care? Drip, drip, drip, won't matter to a surge.
I don't know why "Variac" came up but I sure hope it was NOT related to running solenoids or motors. Both will surely fry if you use them on a Variac. (unless they have brushes in them)