I spent 25 years avoiding blood tests due to an intense phobia. After two cancer scares (the second I put off getting checked for a whole year, because of the fear of having a blood test), I decided I needed to do something about it, so I got CBT on the NHS. After three sessions I managed to get a stab in the vein first, then a full practice one without the usual panic attack I got just at the thought of having one. The guided exposure therapy was the bit that helped.
For me it was more a primal fear of someone coming at me with a sharp object. Rather than the "I'm scared I'll bleed out" stuff on the fears checklist.
CBT sucked for my autism related anxiety issues (had a useless therapist for that one), but for my phobia, the exposure therapy worked really well.
I hope you're able to find something to get you past your phobia.