Yeah. I field tested this. Check out my FR. The point is this.
You MUST say something no matter what it is. Even if its completely stupid you are waaaaayyyy ahead of the guy that's just thinking
about it. At least, you are there and trying. Like Bruce Lee said.
"You ought not be thinking about whether it ends in victory or defeat,
but let nature run its course."
With that said alot of what happens needs to feel (for her) natural.
STRONG EYE CONTACT and/or BIG SMILES is an invitational IOI in
my opinion. I like to look away then look back and/or move location
to see if they are paying attention. If I look back and I am still in
reciept of said signals then I've been invited to come and say 'Hello',
an opener or whatever. It will be welcomed and natural because she
has silently invited me to say something to her. Thereby you may bypass
the usual two and three set thing and just open her because your there
by invitation. Does that make any sense. I call it an Invitation IOI
because it's different than just sneak attacking someone and forcing them
to like you. Here, it's more natural and they never feel threatened by you
because they basically silently invited you. You are already welcomed and you don't NEED to impress her friends. Only her because she has made it clear that she WANTS your interaction already.

Say what you want. It works fine for me. It also serves to let you
choose because they like you and YOU choose whether to go over
there or not. If you're not interested just break eye contact and
move on. If you are then you go for it. You will have more success
because they chose you first. Which fits in perfectly with the PUA strategem.

_________________
BE The Game!

How about making it so that the approach IS her idea? I prefer women to approach me (and buy me drinks) than the other way around. It just makes me feel sexier, plus you get the added assurance that you are now gaming a girl who is definitely attracted to you at some basic level, instead of working uphill to win her over.

To do this you will need, in order of least important to most important:

1. To peacock, and peacock well. Seriously, dress crazy different and do it with flare! Don't forget to keep style in mind tho (try to make it look good), and remember you gotta LOVE your clothes (see #3). I like to wear suspenders, old 20's hats (dammit I actually started a trend here in Copenhagen and now all the shops are selling these fucking hats, might have to retire mine, sniff!), half a tuxedo, feather boas (thanks mystery!), women's necklaces as long as they look good on me, plus I have a smiley face tattoo (something Ive had for decades), a zorro costume and a box of other wierd costumes I play with from time to time. If you are new to this, then start small, but make sure you have something about your appearance that makes you stand out from the crowd.

2. Social Proof. Peacocking just helps attract the attention. Now you need to cement it. So make sure the doormen and barcrew know and love you. Make sure your friends hold you on high for all to see. Bring some girls along and let them be seen on your arms. Dont be afraid to make friends with everyone and everybody in the bar, and be seen doing it. This is verbatim from MM, but it works! So do it.

3. A massively positive and confident attitude. A huge smile. You cannot pull peacocking like that off without being damn sure of yourself... anything less and you will look like an uncomfortable ass in some wierd clothes who wishes he were anywhere else. And you wont gain the social proof of strangers either without a strong, outgoing personality. But once you have it all together, you WILL be the life of the party, so now you can feel free to dance up any girl you see and try some routines or just whatever comes off the top of your head.

If you do all of that, I guarantee you girls will approach you. They will want to ask about your funny hat, or laugh at your crazy style, or will dance nearer to you on the floor with that look in their eye, or they will just flat out approach you and say "omg who are you? you are so crazy!!!" All you have to do is not get so drunk that you can't come up with a quick and snappy response.

Ok, so its easier said than done, but try it out bit by bit. In my humble opinion, its far better learning innergame and social projection than it is to memorize and internalize tedious pick-up routines which probably do not come naturally to you in the first place, especially if they are not true. (Does your friend John really have a problem with a gf who wants him to wear panties and a dress, do you really want to know if the girl likes cats or dogs better? Come on...)

EDIT: You can do this without peacocking at all, just wearing boring clothes, but you have to have the social projection down pat. And peacocking just helps alot. =)