I've never been on a date since no one is ever interested in me, so I can't talk about this specific type of situation but when I like a person(by like I mean enjoy talking to them, being friends, not in a romantic sense) I feel like being in daily contact if possible, messaging here and there and I also tend to get anxious about how they feel about me, if I am boring them, worry that they'll just disappear, etc. Now, I keep those things largely to myself but once I get comfortable with someone, I am just really excited about them being a part of my life and vice-versa.

So to me, what you described in the first half is nice, I would appreciate these genuine attempts at keeping in touch and including someone in your day(in my mind there's a difference between a negative possessive type of behavior and just being overly excited or something). I guess you could try finding someone who has this as part of their personality and could understand. Or you could try and be honest about it when it starts manifesting, just try telling them about it ,that if they feel you're messaging too much, if it seems unusual, they should tell you because it's just that you're excited about them as a person and enjoy talking and you're generally someone who is passionate so you might not realize if you're being a bit extra.