A typical scenario even if I go in and I don't engage the guys first is one might try to get rid of me and by then the group is already engagged and will ignore him ...sometimes his own girl will even scold him for it.
Other times when it's just one guy sometimes they will come up and make a weird face or something because the girls often get away from the guys for a few minutes so there is a better chance of getting approached. Don;t eject when the guys come up. The bouncers are paid to protect you even if something did go down and 99 times out of 100 times it won't.
If you are really worried then lear more on the side of just fun conversation than something that will really fly into the radar of triggering the guy's anxiety for a few days until you get used to the situation. Don't even try to flirt, just go in and have a fun (not too logical or situational) conversation. Try that 20 times. Then do whatever it is you really want to do.
It's the same in malls, you will be sarging a girl and then some guy appears out of nowhere. Hell it's better to approach with him already there than to have him pop out of the shadows anyway ha ha
Dave your location isn't listed. Maybe finding a local wing is a good idea too for someone else to demonstrate it's OK for you.