Do i need to take anti inflammatories to cure tennis elbow or can it heal without them? not concerned with the pain factor

No: Actually, although nsaids are commonly recommended, most studies are inconclusive and contradictory regarding effectiveness. Tissue biopsies of lateral epicondylitis (tennis elbow) show mostly deterioration and not inflammation.

? anti inflamatories: In these situations most meds are usually used to cover up the pain problem could go away on it's own over several weeks and /or months pt / eccentric exercises may help prp(platelet rich plasma) injections seem to be helpful but insurance for the most part "no like to pay for it".

Family practice : Tennis elbow is an overuse syndrome. There is no cure. Ibuprofen is helpful in relieving inflammation. Also can wear a tennis elbow wrap.