Do you mean MOBAs? Like League of Legends or DotA?

Yeah, those sorts of things.

I know in League's case, there is a mode where you can just play against bots

I guess it's the same in both (I have only experience with LoL), but you can play with any combination. The "real" game is usually 5 vs 5 people, 5 people vs 5 bots is used for training.

And then you can make a custom game with friends (be in the same team or different teams) and fill in the remaining roles with bots... or just play 1 vs 1 if you want.

I'll gladly play with you anytime, if you feel like trying it~! (Though I only have accounts in European servers, EUW and EUNE.)

I'd be willing to play too, though I'm kind of the opposite of Dialny in that my main account is on NA. 'x'

Well, I've been thinking of making an account to NA too. No idea how bad the lag would be, but I could at least try. ^^

I've been experimenting slowly... (I was given a couple of beta codes for Blizzard's new attempt) but it's not too bad.