In my experience, neither number 3 nor 4 are possible. You cannot reduce or eliminate this phobia, and they will never ever give you medication to make this less of a nightmare because it doesn't really work and it can make it more challenging to actually get the blood draw. Same problem with self-medicating.
Your best bet is to try and find an excuse for a procedure where you're under general anaesthesia and have the draw done while you're under. This is the literal only way I've ever been able to get a draw done.
Depending on your PCP, they may be able to prescribe you benzos for your panic attacks. If they're cool and you tell them that you have them semi-regularly (you don't need to say that you have an exact cause) and that they are impacting your life in some way (school, work, etc.), then they should be comfortable with the prescription.