I know how you feel! My daughter had 2 blocked tear ducts as well. Her eyes were always goopy, and her 6 month photos look like she has pinkeye!
My pediatrician also told me to massage her eyes, which I did to no avail for several months. When I did go take her to the eye doctor, he told me I was not massaging them the right way. Rather than pinching the bridge of her nose, as the pediatrician showed me, I needed to take my index finger, with a trimmed nail, and basically jab it into the corner of her eye, then drag it down along the side of her nose. He told me to do this in sets of 3, 15 to 20 times a day. I felt like I must be hurting her, and she did grow to hate it, but one eye cleared up completely. The other one was better and then worse in cycles, and he said if she was still blocked by the time she hit 15 months, he'll have to do a minor surgery to unblock it. We go in for that checkup next week.
So it may be worth your time to see an eye doctor, just to make sure you are massaging correctly. Other than that, just keep it up, and hopefully it clears up by the time she's one year old. Good luck!