League of Legends does not support the dedicated server model on the LAN. It uses RIOT's US servers. Our internet connection is not strong enough for that to be playable.
That said, you're welcome to play it if you have your own 3G internet service (via your mobile or 3G internet stick) but like Tibor said, suggest playing DoTa as I understand it (LOL Player myself) the mechanics are almost identical.
Sorry