I will be in Orlando in March, but wasn't planning to do Epcot - if anything I'd do AK to ride Everest! However, if I do go to AK for Everest I'd have a hopper ticket, so might be persuaded to hop over to Epcot for a meal and some drinks! The only possible days I would have for this are March 7 and 8.
I've done EPCOT on my own twice now. I love it! I can linger as long as I like at any of the pavilions, eat where I want, watch Illuminations every night if I want. It's a much more relaxing experience, and I think you end up noticing more because you are not rushing from one place to the next.
I did Epcot by myself for the first time last year and I'll tell you what... I enjoyed it very much!!! I was able to go at my own pace without DD12 telling me she wanted to get back to MGM. There are so many interesting things there that I'd overlooked. I rode Test Track using the single rider line too many times to count.
I usually do Epcot solo. It's great! Like mentioned before, take advantage of the solo lines. WS is great to do solo though. It really gives you a chance to explore every little area in every country. Have fun with it. You'll have a great time.
It is easy to go EPCOT on your own. I have done it by myself several times - eating around the world showcase, enjoying the shows/rides, and I especially enjoy diving at the "Dive Quest" program at Living Seas. As a single female traveler, I use common sense and precautions like everyone else.