First of all, good luck on your exam!! I hope you beat your estimations.
Your school list is fine, but as you have realized yourself, unless you have a mountain of free time, you are unlikely to be able to do so many school in such a short time.
Lemme ask you a question: what's the rush? would it not payoff more if you were to study the GMAT 6 months more, get a higher score and then apply comfortably for R1 next year?
Among my school list is TAMU alright to apply?
Yes it probably would.Am thinking on the same lines now.Just that its another almost two years.