I understand the "theif who only repents after.." analogy. But it really is something she has to work out in her mind. There really isn't anything I can do to prove it, right?? Doing things like not begging, GAL, etc are all good things that I'm doing and it will make me a stronger and more attractive person. But, it really won't prove anything to her about things changing in our marriage.
You could just say something to her like "If you give me another chance I will initiate sex 3x a week, every week, or I will leave and file for divorce myself and do x,y and z to make things work out in your favor if that happens." She's not going to believe you unless you believe yourself. Right now, you "feel" like you will be want to be able to be more sexual in your marriage but feelings change. If you express that you are willing to back up the feeling with concrete, measurable action for which you will be accountable and pay a price if you fail, you will obviously make yourself more trustworthy just like you would in any other endeavor.
"Tell me, what is it you plan to do with your one wild and precious life?" - Mary Oliver
