Right now, I'd say that it's a crap shoot to blow your entire GI Bill benefits on flight training. You never know, the economy may eventually turn around enough for you to get hired by a major/fractional/corporate and allow you enough seniority time to be furlough proofed when/if the industry craps again.
I'm with a few others here: I'd suggest you invest the funds to obtain a higher degree in another area that interests you and is economically more likely to provide steady employment for the rest of your life. Use your GI Bill benefits to make big bucks in a sure thing and use the $$$ to enjoy flying on the side!!
I'm a Texas resident as well and was unaware of the Hazlewood benefits. Thanks for cluing me in. Good luck to you!