We always want to be go about our business without worrying about what the bad guy will/may do. You were not in a good place if you were off the strip. Trust me, I've been there, it not comfortable and will put you in condition 2 or 1 very quickly. You probably did what you could do. Changing directions, or crossing the street to where the suspected bad guy came from will be a true tell of his/her intentions. If they are really after you, they will adjust.
Now, with that said, being in that situation is never good. Hopefully you can resolve the issue without having to draw your weapon or fire. If you can't, you need to do what you need to do, and regardless of your actions, you may have to explain to law enforcement.
I'm sure if you find yourself in that situation again, this time OCing, there are plenty of arm chair quarterbacks here that would tell you how they would have done it, or how they handled it in the past. You really don't know what you're going to do, until it happens, even if you've practiced it, because every situation is different. You can do as I described above, change direction to throw the BG off. If that doesn't work, you escalate, however slightly. Make sure he see's your strong side, even if it means you stop turn with your strong side facing the BG and point or look at something. It doesn't have to be a real thing, just an act. Just so he see it. If that doesn't work, you escalate again, bringing your hand down near your weapon. Still no display of your weapon has occured, but you're ready. From here it depends on the BG, you can tell them to stop, tell them you are armed. Now you've given plenty of warning and shown that you are armed.
Keep a cool head and be observant.
I only hope you never have to escalate to drawing your weapon and shooting somebody. But we carry for self defense.