I think you're range is too narrow here. I do agree with the others though, you need to 3-bet with Kings. What you're hoping to do is get the other guy to go all-in with you pre-flop, but you at least need to know where you stand. I'm re-raising to at least $1 here if not a little more. Having said that, you probably are beat here on the river. I'm thinking he might have A-5s, 55, or a boat of some kind. That's all dependent on this guy though, and you don't have a lot of info on him. I tend to be more conservative against unknown players and I don't think I'd be making a hero call