Here is my take on the logo you described to be looking for. I am still trying to see what else I can add to make my design jump out at the viewer a little more--you want the logo to obviously be fun and fitting to what it is that Lone Star stands for. I will see what else I can come up with, but feel free to comment on this one in the meantime!
P.S. - Sorry for entering so late; I didn't see your contest until earlier today!
Oh! I forgot to mention: I currently have a distressed/textured layer on top to give the whole design a nice vintage feel, but this is on it's own layer and can be turned on or off as needed! So you could use it to print vintage-looking shirts or other things, or you could turn it off and print clean stickers, decals, etc...