Jazz for someone who doesn't like jazz.

I've toyed with the idea of looking into jazz. Not sure why. Not sure what I'm looking for. Maybe just something to sound good on my system. I realize jazz is a broad category but much of what I hear I have not been attracted to. Don't ask me what I've heard.
What I'd like is a recommendation of two or three albums to start with. (I know that's insane)

And since I've given next to nothing to go on I'll point out a few things that I do like that might help narrow it down some maybe.

Jazz-like stuff I do like: Steely Dan. Almost all of their stuff. Van Morrison's jazz influenced stuff like Astral Weeks.
I like blues. Delta and hill country hard core blues.

I like a wide variety of rock from heavy metal, to prog rock to classic R&B.
Does any of that help? I know this is a crazy request but if I could get some recommendations I'll at least have somewhere to start. Not looking for specific recordings yet. Just content. When I find what I like I'll research the best recordings.
Thanks for any possible advice.
George