Sorry to hear about breakage..that word just makes me cringe!! Where were you having it? We gotta nip that one in the bud!
I dont think it would be too soon. Actually the sooner the better since your hair is very fragile after a relaxer. It needs the least manipulation i/m/o.
What I do to avoid breakage is watch the tension I put on my ponytail holder. I put the holder ontop of the plastic to make sure it does not rub against my wet hair and even think about snapping. So, the closest thing to my hair is plastic and because my hair is greased up, there is no hard friction against it.
I also alternate where my pony is and how I do it: Higher, Lower, etc. -Sometimes I baggie just the very ends, approx 3 inches and hide it under a loose french bun. Today is my "out day" I will take pics next bun.