Blind,
I worked on my H regarding the schedule for a looong time, probably over a year. One day he just thought it was the greatest idea, it was so strange. Perhaps I worded it differently that day, I don't know. Keep at it.

I think originally he viewed it as a way for me to "get" it from him. Eventually I was able to convey that we both would rest easier knowing that there would not be this elephant in the room with us. We'd know which days we were to ML and we could relax into this knowledge and enjoy it and find ways to look forward to it.
I know this line of reasoning might not work with her now, but maybe someday she'll be able to see the wisdom of it.

The other suggestion is to come up with a frequency that works for both of you and make it a non-negotiable thing--it will happen unless someone is in the hospital. Ours was twice per week, decided by H, and the deal was that we didn't have a set day but we had a set amount. It was up to him to decide when that would happen but I did request that he not 'save it up' for the weekend, or cram it into one day, kwim.

Would she go for that?

H.