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I don't know the answer to your first question. I've never owned a projector with lens shift. And yes, you should be looking for an LCD projector. Why can't you center the projector on screen?

Projectors with hor. lens shift normally list the amount of shift as a % of screen width. I've never seen it listed as an angle like you are showing. Just look in the projector's listed specs. Do you have a projector in mind?