[Dehitay]

I was recently asked to translate the following for somebody

"For the love of a good woman, I'd even conquer hell"

I don't actually know the Japanese grammar for "I'd even do X". This is my current translation, but I feel like it might be off.

いい女の愛のために地獄を征服のほどします

Can somebody explain to me the proper way to translate this sentence structure?

Also, I'm not 100% sure what to use for "conquer" in this case. Was 征服 the right choice or should it be something else?