heads up vs. "this guy"

[lane mcbride]

so, I played some heads up stud (high) today, and I had quite a peculiar opponent.
He would call every time, never raise always call. even if he knew he was behind, even if he could not win the hand at all, even if he had aces full (which happened once). He literally called every bet. he never once folded, never once raised.
for example one hand I had (3, 4) 4 a 6 a showing and he called my sixth street bet with king high no draw. and then proceeded to call my aces up down on the river with king high.

so, my question is this. given this type of opponent what range of hands do you raise with on third street, which do you fold, and which do you call given his different possible door cards:
i.e

[BeerMoney]

Does he always check?

[lane mcbride]

yeah... always checks too

[benwood]

He must be running for calling station of the year,or something.LOL

[preiserone]

I think you bet/raise with the same hands you normally would be betting for value. But you can call with almost any hand since he'll be giving you infinite odds to draw on him.

[BeerMoney]

This guy seems dangerous, you don't want to play against him. PM me his screen name, and I will observe him.

[MRBAA]

Hey, I sucked you in with my aces full didn't I?