I had the same frog problem, we put in a backyard pond and the frogs took over. Some guy told us to go buy a bullfrog from the local pond supply shop, I think he had eaten all the little (loud) frogs within a couple of days of our bringing him home. It seems that one bullfrog can eat a lot of small frogs. He stayed around for a few years eating worms and BIRDS until our dog ate him.
As I understand it, gigging only works on Horned Toads, which aren't even really toads; and you gig with your hands. I wouldn't suggest gigging, unless you're an Aggie.