Wanted: Dual 110-VAC Switch

Try a google search for "solid state relay" (an electronic relay that uses Triacs). These have a much faster operation than standard relays (but are more expensive).

http://en.wikipedia.org/wiki/Solid_state_relay

Available from standard electronic component stores that also stock relays such as RS (radio spares), Digikey, Farnell, etc.

You might also wish to switch the AC using triacs or IGBTs directly. I'd recommend a solid-state relay except that a number of them wait until the next voltage (or current) crossover to switch. This delay (at 60 Hz mains frequency, worse at 50 Hz) could be as large as 8.3 ms -- the duration of one half-cycle @ 60 Hz -- should you attempt to switch immediately after the last crossover. At 50 Hz mains frequency this delay could stretch to 10 ms.

I think I am on the same track as EUROPIUM. You might try to looking for a Static Switch. Most Manufacturers of electrical or electronic equipment will make them depending on the size you need. I hope you have the budget to by one, because they're not cheap.

europium is right, most SSRs for power applications will switch at a zero crossing to try to avoid noise generation and current spikes. But the current you are trying to switch is another issue that needs to be answered. Here is a part listed on the Allied Electronics website that will switch quickly enough. It's rated for about 500mA max though. Is that enough?

http://www.alliedelec.com/Images/Products/Datasheets/BM/AROMAT/788-1252.PDF

Why 6 milliseconds? At 60 Hz a half-cycle is 8.3 ms. You need to switch in less time than a single AC half-cycle?