Youre quite correct to be thinking this way...ibuprofen is considered the safest of the non-steriod anti-inflams, however, there have been alarming studies that show a significant loss of blood from people who take the drug over a period of time (4 weeks - entire cup of blood loss!)
The only answer that i can give and i know works for me is 4 teaspoons of olive oil daily...I do lots of long distance running and my tendons flare up as a result, since ive taken olive oil, ive had no pain whatsoever. But, use extra virgin olive oil rather than the refined .
"High intakes of olive oil, vegetables and fruits are significantly associated with lower systolic and diastolic blood pressure."
Try it, it hasnt done me any harm. Let me know how you get on.