Her actions don't strike me as that unusual, to be honest. It seems like latinas aren't shy about pushing a relationship in the romantic direction, and pushing it hard. So I think you have to decide how you want it, and push back; if it's no good with her she'll let you know, and if it is she'll probably accept that, at least to a great extent. I think this is where that whole thing about the man having to lay down the law with these women comes in. That you lied to her about coming down just gives you an opening on starting that conversation, but you need to do it in a way that she doesn't find insulting, whatever you do you should leave her with her pride and all that.
Might be good to think of it as just another female adventure south of the border, a learning experience, and direct it the way you want it to go, but always consider her side of it. One of the joys of CR is that you can be as honest with the women as you want, unlike at home, and there are no terrible consequences, and you can also be pretty selfish about what you want. That's not to say you have a license to be inconsiderate and cruel, but understand that they are likewise pursuing what they want from you, and usually in a direct and forceful way. So you need to be aggressive about your desires, and take joy in the interactions, amp up the emotions; my guess is that you'll find that she conceded to your desires pretty quickly, she'll probably want to see some of you rather than not at all, even if she has to share you with da putas. And if it goes bad, what have you lost? You're down in SJO and suddenly without a girl? We all feel for you, oh what
will you do??