Boy,I know that I'm going to take a lot of flack for this,but here goes anyway.
I wouldn't call her tonight. That's just me. I wouldn't call the next day. I would wait until tomorrow to give her a call. And for pete's sake man,stop drinking long enough to have a sober conversation with her when you do call.
A lot of women have a tendency to flake on guys when trying to set up a date. I don't think that there is a 100% full proof way to avoid this,but there are some things you can do to lessen her flake chances.
First,when you call her,try to stir up her emotions before you ask her out. You'll have a better chance of her saying yes to a date with you if she's experiencing some emotion when you ask her.
Another thing you should do is when you ask her out,instead of saying,"Do you wanna go out sometime?",say something that gives her the impression that you ALREADY had plans to do something,and since you were going to be doing it anyway,you're just inviting her to come along.
Say something like,"Hey,I'm going to the mall (or whatever) on Thursday,but I'm only going to be up there for an hour. Come up there and walk around with me,I mean,I could use a woman's opinion anyway".
This let's her know that you have a life,that you have things going on,and although you are busy,you might be willing to find time for her somewhere in your busy schedule. Do this,and it'll make you seem more interesting to her.