Bang for the buck

The 580 don’t reach too low in the bass and should be fine just a 1’ or 2 off the wall. They are a good balanced speaker and really special for the money. I would want to run subs with them. This cheap JBL subs kind of suck but they are super cheap lol. 
 

the only think with the 580s is the center is total junk and way too small. If you are going to use a AT screen I would buy 3 580s. 
 

the new line is the 6 series and looks much nicer and has a much better center.

https://youtu.be/P9mCCW5Xq-A  

@onebean

Re: placement page 3 in the manual states you move them closer to the wall to increase bass but doesn’t give a minimum distance for back walls, only side walls (20 inches for side walls).

In my experience if you find that you have too much bass you can either:

A) Place a sock loosely in the ports.

B) Place an absorption panel behind the speaker.

https://www.jbl.com/on/demandware.static/-/Sites-masterCatalog_Harman/default/dw356fc2fb/pdfs/STUDIO580_OM_EN.pdf

The matching sub is marked down from $599 to $179 and JBL makes excellent subs, I own the JBL 10 inch for the Studio 2 series. At this price you might want to get a pair.

There are some very good suggestions here, but I'd like to weigh in with my own: Ryan R610. I've owned a pair for several years now and have not really been tempted to upgrade. On the used market they sell for way under $2K (they're about that new), but the problem is that they almost never come up on the used market. That's how good they are. Of course, as with any speaker, the electronics driving them are a factor, as are the cables (and in this case, the jumpers unless you bi-amp them) but for musical, balanced, non-fatiguing sound, very few speakers in this price range can beat them. 

If bang for your buck is the main consideration, some sort of DIY kit speaker can  offer an amazing value by using the same drivers that are found in expensive speakers ($25,000+).  

I don't review specs, they are flawed in many ways  believe.  At $2k budget Wharfedale Linton 85 come to mind. Unless you want vintage.