Most oncologists won't mention it. They've said "I do traditional chemo and radiation that's it". I do know OHSU in Portland Or. is involved in CLL clinical trials. Also, the hospital/clinic in Houston ( I don't have the name in front of me). Has announced a 300 BILLION dollar commitment to curing 6 types of cancer by 2020. CLL is one of them. They will do trials, and I believe they already are.
The problem with CLL is having to do the homework yourself. If your up to it, try and look some alternatives up on the internet, it can't hurt.