When you say the "relay latches", I assume that you are not meaning that you require a latching relay, which is a relay type in its own right. If you just require an ordinary relay, which will only keep the contacts closed while power is on the coil, check out the Omron G2R series, they have 110V AC coils available, and a max switching contact resistance of 30milli ohms, (measured at 5V, 1 amp),
cheers,
Richard
cheers,
Richard