What diversion techniques are you trying (apart from ice)? Also what do you use to cut yourself? I am a recovered self harmer and this is some advice I can give, althought everybody is different so I hope this helps:
Remove objects you use for cutting e.g. Razor blazes, and dispose of them. If you can't get rid of the object, then remove it from the room you self harm in or if you live with others give them the object to put away somewhere where you can't find it
Draw red lines with a thin red marker on where you self harm when you get the urge to self harm
If you enjoy something calm e.g drawing, painting, poetry etc. When you feel low or the urge to self harm, express yourself artistically or begin your activity (if its not artistic)
Contact a trusted friend, a charity or walk in A&E. I know A&E sounds extreme but it can actually make you realise the reality and how serious the self harming is becoming
Go A&E or to a doctor after you've self harmed. They could assess you and should refer you to support you need
The last time I self harmed I took myself to the hospital. I had a mixed reactions from the staff; sympathetic, a psychologist who thought she could cure everything by coming out with ridiculous comments and judgemental ones. But this was a great step for me to realising how serious it was and reaching out because my self harming got quite serious; I was drawing pictures with razor blades into my thighs and losing touch with reality whilst doing it.
I hope this helps, if it's not things you'd like to try, message me and I'll give you some alternative ideas which I didn't try but I've been advised by a therapist work