In my early 20's I cut for a long time. It felt like I was stuck in a bad loop that I just couldn't break out of. For me it stopped when my life changed dramatically for the better (finished uni, cut an emotionally abusive person out of my life, met my partner).
Unfortunately it has been back on my mind a lot in the last year since my diagnosis. I even started cutting again for a bit, after 7 years of not (although in those 7 years I have done plenty of punching myself in the face/stomach/arms, so it was never really gone totally). It is on my mind so much now that that is why I am here on The Haven right now. I feel like I just can't find any other way to get away from my emotions, even just for a few seconds.
I'm sure you've read the usual things like holding ice or flicking yourself with an elastic band.... I don't really get how this is any less serious, except obviously you don't risk infections. It isn't really solving any problem though, and in some ways I have found that having a way to hurt myself inconspicuously while I am out in public (with an elastic band) just encourages me to do it more.
Lately I am trying to work on the distraction method. When I am at that moment when I want to cut I wait 2 minutes.... Everyone can wait 2 minutes. Then if I still feel the same I force myself to wait 2 more minutes.... It works sometimes. I think cutting is one of those things that if you do it less you will want to do it less. My psychologist calls it "recency and frequency"- The more recently/frequently you thought about/did it the more likely you are to think about it/do it again. And so on in a seemingly never ending cycle. Cutting is a very hard cycle to break out of.
One of the other things that I know about myself is that if I have even one alcoholic drink I am MUCH more likely to hurt myself. It seems to take away my tiny edge of consequence and impulse control. Maybe this is something you could try if you drink at all.
It's good that you are finding a new therapist. They may not have any new ideas for stopping the cutting, but it is really about working through the reasons that you are cutting. You mentioned that you have been having more difficulty since your diagnosis, perhaps you need to work on acceptance and self-esteem issues that have come up. I know for me this has been where most of my wanting to cut myself in the last year is coming from. I felt like after diagnosis all of my traits (mostly negative) where in the spotlight in my mind 24/7. It is a difficult feeling to carry around your shortcomings in the front of your mind every day, seeing crystal clear how they are affecting everyone around you and everything you do.
I can't stress how much you really need to find a therapist who knows about AS. Cutting is not a given with AS, but you may be needing to do it so much because you are not dealing well with the issues that your Aspergers brings up for you. I see a Clinical Psychologist every week who has experience with Aspergers. We work on lots of ways for me to better manage my anxiety and to predict and plan for the things that I will find difficult. It has been great to work with someone who has experience with Autism, she has ideas and understands me more than anyone that I have ever met. It is still endlessly difficult, but I can see that over time I will have the skills to shape my life to suit my set of abilities more.
Goodluck, I hope you find some relief. PM me if you like.