I can only speak to my experience as I’m in the same budget range. I am happy with a $950 Freya+ and a little tube rolling I have not heard the Vidar at $700 but a pair of Aegir class A amps with 80 WPC would cost you $1600. Throw in a good interconnect XLR and you hit your $3k limit. You will not be disappointed in the sound. I tried a Unico Primo integrated with a single 1AX7 in the preamp state. Good amp but a little too lively for me. $2K until 1.2.202 then goes back to $2500.
One that I’m interested in that people see to like is the Vincent SV-237 at $2705. Tubes in the preamp and a reputation for being on the warm fuller side of things. Not that well review but I liked on Upcale Audios web site and it has five stars.
I think the build quality on the Vincent and Unico are a step above the Schiit. For what it’s worth. I own also own a Schiit Ragnok and it’s a good solid integrated. Solid hitter at $1500. Probably better than some selling for at least $500 more just to keep a lid on the hyperbole.