I've only experienced one game in which bungee zombies were that big of a problem. It was the final level of survivor before you unlock endless survivor. There were so many bungee zombies that dropped that it causes me to lose. The next time I went back planning for them and the game sqitched strategies for whatever reason. They were hardly used when I tried again. Typically I find it best to just not worry too much about bungee zombies. Just let them take whatever they're gonna take and then replace it. If you come across a time in which they are being heavily used there are a number of strategies, including planting gloom shrooms in every other row.
Cob Cannons are the best thing to use against them. Most of the time you can't use a cherry bomb because you don't have any near empty slots and a jalapeno doesn't take care of all of them. Freezing mushroom also works nicely but depending on where they drop you might not have adequate firepower to kill them before they unfreeze.
I'm casting my vote for umbrella leaves. They fall anywhere within the 3x3 area, SPROING, gone. Don't need to worry about Jalapenos or freezing them or any of that jazz. It also takes out whatever zombie they may have been trying to drop behind your lines.