You're very lucky that you can get help with recs this late in the game, especially if you're in TX! Many of the TX/LA/AL/OK schools want recs by July 1, but that date isn't set in stone. Good luck and please let us know how it all turned out! You may want to start a Recruitment Story up above!
ETA: You won't look like a slacker to the sororities for having recs coming in now, nor for having an application submitted later. Don't worry about that!!!