The good news is... for under $3k you don't have much to pick from.
I have a FLIR-based Thor 19mm (not the new HD models which have varying reputations depending on who you ask). It's good to 100 yds, but that's about it for clear sighting and it does have (4) profiles. My "Holiday Hogs" post below has some video where I state the distance I'm shooting at.
I'd recommend the Pulsar XD-38A (don't know if it has the multiple profile capability). It has a 38mm objective @ 50hz which really matter for the visibility part. UNV has them with the DVR for $2,999, so you'll just squeak by.
Don't try and compare what you see in the IR Defense Patrol videos for example, with what you're going to get for $3k.