What the other guys said are good...they're just more than $2K new. I really feel like most 56mm/20 something power scopes are wound out at 1,760 yards. At least they are for me. I do have a .300WM that will do it and it has a Gen2 Razor on it, but I've never actually shot it beyond 1,600 yards.
I'm not really a Sightron guy, but those are the only ones new (on paper) that would seem to fit that ELR bill in your price range, and if memory serves they were sold and are now Chinesium, but someone else who knows can chime in. I have one Sightron scope (not their top of the line) and I don't like it, but I know that back in the day they were the tits.
If you go on CS Tac or one of the big optics houses and put in sub $2K I see nothing that I would want and would work for me. When you change it to sub $3k some of the recommendations start showing up. I feel like I would need more than 27X to clearly see the target at 2000 yards. Mind you, I rarely go more than 15X except on really long stages (beyond 1,200 yards), and then I usually put the zoom hard over.
If you want to shoot further than a mile it's kind of a different game. Every yard starts to matter. There's guys here that know ELR, but most don't. It's a sub category in a sub category and an even smaller community.
@Geno C.
It's like drag racing. You can get your numbers low and quick, but the further you push out small differences start becoming really large ones. You need good optics to shoot "long range", but even better and more powerful ones for ELR. Like the difference between a race car and a dragster. They're very different kinds of cars and different kinds of shooting IMO. Not that this shit isn't expensive, but ELR is even more expensive to build a rig that will do it.
I have a long history of trying to cheap out, getting frustrated, and eventually buying the stuff that will do it out of the box. Most recently trying to build a cheap NRL22 gun, and now a shoot a gun that costs as much as a precision center fire.
I can honestly say that while I've felt an irresponsible lump in my throat dropping thousands of dollars on a scope, I have never had buyers remorse. More like a happy feeling every time the target is in the reticle...