<human>: Condense the text into a few key points

Hey, just looking for some quick input/advice!

I met this girl last weekend at a party of some mutual friends of us. We chatted a bit and got along great, and at the end of the night I told her I want to meet her again and she gave me her number. 

Now the problem is she lives around 2 hours away from me, in a city where my sister and a few friends of mine are living. I told her that I got some family and friends in her city and she said something along the lines of "thats great, you should come visit soon".

Now to my question. How long should I wait to visit her, without coming off too strong and/or needy? I'm usually a fan of not playing games and straight up tell whats on my mind, but I feel like if I say "hey, I'm free this saturday and have nothing better to do than travel two hours to your city", it would come off kinda needy/pushy/creepy. The further problem is, that the following weekends after this upcoming one I'm super busy with work, so this might be the last chance til march to travel there.

Just to make things clear, I'm geniunly interested in her. I would not just travel there hoping to hook up. I really wanna get to know her.

Thanks for your advice! :)
<bot>: Met a girl who lives a few hours away from me in a city where I got friends and family. Would like to meet her as soon as possible, but dont wanna come of creepy or needy.