How soon until I can dye my hair again without killing it?

A little over three months ago I had a professional bleach my hair and dye it blue, but I wasn't happy with her work so I had another professional use a color remover on my hair and then we dyed it a reddish brown, which is darker than my natural (dishwater blonde) hair color. Well, I've been really careful with my hair, avoiding the heat styling as much as possible (and using professional protective sprays and lotions when I'm forced to straighten it), and using some very good moisturizing shampoos and conditioners. The ends of my hair are still a little fried, but I've got about two and a half inches of roots that aren't horrific, per say, but definitely noticeable to me. What I'd really like to do is go back to a dark-ish red color for the fall and winter, and I'd definitely once again turn to professionals to do it rather than doing it myself so I don't make it any worse. Do you think it would be safe to go in and have it done? I haven't really had breakage, my ends are just fried. Am I in danger of some fallout if I get a non-bleach dye job?