I don't really like the "stoic v excitement" distinction, it's a false dichotomy. Google and read up on NLP. There's no reason not to do both situationally. Develop different toolsets for different tasks, just like anything else. Resist the inclination to accept the stories you tell yourself about yourself, they are all bogus. "I am this way, I am that way," do away with that kind of thinking describing personality and habits, save it only for matters of pure subjective taste (music, hobbies, actual learned skills). Don't try to unscrew Phillips heads with a flat head screwdriver, just have BOTH on your belt. Far more important than your preordained style is THEIR attitude and your ability to gauge it, then tailor your tactic accordingly.
Then to logistics, let's say you are working a booth at a charity event, and you will be next to the girl all day. Slow play that, tactical advance and withdrawal all day, cat string. Let her see you mastering the environment, being accepted with people, throw her a playful crumb here and there. You "win" this when she gives her phone number out of the blue without your asking, or especially outright leaves the event with you at the end.
OTOH, in a crowded, loud bar where you don't know who is coming and going, who is with whom? You need to hustle that environment. The more control and certainty you have, the fewer distractions, the more cat and mouse you can play. The more uncertainty and distractions, the more assertively you need to engage. You "win" this when you are able to remove her into an environment where you have more control.
