Whether some people realize or not, visualization/visual memory skill is one of, if not the most required "talent" in chess. You will likely have a tough time improving compared to most people, and will have a lower skill ceiling than most people. I'm guessing you would have to try really, really, really, really hard if you ever wanted to break the 2000 barrier.
I am not in the bottom 5 or whatever percentile like you when it comes to visualization skill, but I figure I am in the bottom ~20%. It can be made up for in certain ways, but I think you and I can only go so far (my estimate is around 2000-2200) before it will be nearly impossible to improve beyond that point.
The good news is, it is a skill that can be improved to a certain degree. And like the others said, you can have fun at any level (and be competitive with those at your level). I'm betting it will be a struggle for you to reach 1400, and within each level (1500s, 1600s, 1700s, etc) you will experience a strong plateau. If you don't give up, and you really find that you like the game, you can probably improve to the point of being competitive at local clubs! That is basically my goal...
Another question that I probably already know the answer to:
Are you absolutely horrible at drawing?
friend is Comp sci major who can't visualize at all. It doesnt really affect him at all.
If you want to learn blindfold chess though, you probably need some sort of coping mechanism as opposed to just picturing the board.