I am 38 and had a subtotal hysterectomy earlier this summer. I also have cyclical bleeding, though it's very light.
I saw my doctor about it and she said that catuerization is an option. It's a procedure that they do right in the office. For some women it can be rather uncomfortable, part of my hesitation is that i've always had a very sensitive cervix and can't bear the thought of going through that to get rid of a little blood.
My bleeding is very light (just a little pink when I wipe and a single panty liner a day) and I don't think i'm going to opt for the treatment, but I thought you should know it's likely an option.
It's possible that you may need to heal a bit longer before the procedure could be done (my doctor said that she wouldn't want to tackle it until nine months or so when I come in for my next pap if I was interested).
Take care.