Several scarves in one WEEK? I'm impressed. I hate scarves (easily bored and I don't know how anyone can stand to wear them - I love a breeze on my neck).
Might I ask why you don't want a circular pattern? Do you dislike it, not own circular needles or dpns, or just trying to get more comfortable knitting flat before you try?
Another thing to note: depending on the pattern, if you see a pattern you like that is written in the round, I or someone else on here might be able to rewrite it for knitting flat (I've gone the other way a couple of times, knitting things in the round that are written flat, so I should be able to handle the transfer).
Try www.headhuggers.com . I believe the flame hat is written to be worked flat, so if you just ignore the intarsia and work straight for that many rows, you should be good.