You think she lost interest because you were too much of a "player" with her?
I think she lost interest because you were too much of a fkkn DIKK!
In the first bit, with "far away". That's not TOO bad, as long as you say it with a grin.. sort of makes it "mysterious". But then the next bit "East".. that is just fkkn retarded.. even if you said it with a grin. The only dikks who talk like that are those stone-faced TV cops. I bet you said "far away" in that tone too, didn't you? I think that's the kind of image you like to portray, but seriously, if you do, you're gonna have a lot of trouble with chicks and it wont' be cos they think you're a "player".
After she goes "Where exactly", you should have told her. Or if you wanted to play games, you could have said "guess".
Then, we she goes "you were mean to me and now you wanna be nice", and even after you said "that's too long to read", you didn't have to fkkn shut up the way you did, and just sit there like a chump and then complain that she "lost interest". Fkk man. You could EASILY have gone -- with a smile/laugh! -- "okay okay... I READ it... I'm just kidding with ya". Do you think that's "too nice" to say something like that do you?
Anyway, to answer your first question about what can you do to find a "middle" way. Look, they don't form the opinion that your a "player" until at least after about 5 minutes of solid conversation, but often much longer. The way YOU make it sound though, is that they're losing interest after only 3 or 4 questions, and YOU think it's becauase they think you're a player. I say WRONG. It's much more likely that they find you BORING.
However, let's say it's true that they think you're a player. Then just SLOW IT DOWN. Start off more "neutral", and try to get an impression of the girl... is she a slvt or a "good girl"? Once you get that impression, then if she's a slvt, you can say more "player" kind of stuff, and if she's "good", then just be nicer or whatever. (Whatever you do -- don't be boring!)