How can blocked arteries be cleared in your neck w/o surgery?

NOT REALLY. To eradicate the plaque, surgery is needed, but there are clear indications for surgery. Some patients can be managed with Aspirin or other anti platelet medications. Ask for an opinion by a reputable vascular surgeon. Your doctor can help you make these arrangements.
Blocked arteries. Depends on extent of blockage. Consult a cardiologist for blood thinners vs. Other options.