I have one blocked fallopian tube...i wanted to know what's the best alternative to surgery to unblock this tube?

Cannulation: Depending on where the blockage is, sometimes a radiologist can perform a special type of X-ray where at the same time they use a small catheter to try to unblock the tube. Not every radiologist is skilled in that and not every patient is an appropriate candidate for that procedure.

IVF: It depends on if you define "best" by what will get you the highest chance of getting pregnant immediately. Technically, ivf is not an alternative to surgery, because it involves minor surgery itself.

Depends on where: Tubal blockage where the tube leaves the uterus may have little overall effect on pregnancy if the other tube is open. Blockage at the end of the tube though is very detrimental to pregnancy even from the other tube. Due to fluid moving from the blocked tube into the uterus. If that's the case, likely need some surgery to fix the problem; removal or repair via laparoscopy.