I know someone who has done this and got laid. He isn't good looking either, although he has a fairly good record for banging girls way out of his league. I don't know how he does it in terms of 'game'.
Try to imagine trying to 'game' some girl staying at your place for a few nights. Try to picture it in your head and describe how it might look. Travellers are usually slutty and uninhibited. From certain countries, the fact that you speak good English is seen as cool. And they think you are nice and chill for letting them stay at your palce for free.
But you'd still need to 'game' tehm (whatever that really means!)