After losing one fallopian tube, normally you are not losing the chance of getting pregnant again. Pregnancy is still very possible with one tube though it is said that chances of getting pregnant is decreased by 50%. You have two ovaries both in left and right. The right fallopian tube is still capable of functioning as the passage of the sperm cells to fertilize any egg released by the right ovary. If fertilization happens, normal process will still be followed through the right fallopian tube as the passage of the fertilized egg to travel for implantation into the uterus.
So, very well, yes you should keep trying to get pregnant. Knowing your ovulation period will be helpful too to have sexual contact on the time frame where conception is highly possible to happen.
Aside from just trying, I would highly advise that you also get checked up by your Gyne doctor to be sure there is no other abnormalities involved such as hormonal imbalances, or any organic defects that may be causing your incapability to conceive.
(I had ectopic pregnancy too and had 3 children out of one fallopian tube.)
You are still young and I believe you still have enough time to have children. Actually, according to literatures, having one tube removed does not appreciably decrease a woman's chance for becoming pregnant.I just mentioned that "it is said to decrease the chance of pregnancy by 50 % for the reason that some women, ovaries are ovulating alternately in every cycle.
I wish you all the luck. Take care...