several years ago I built an Audio Note L1 EL84 pp kit amp for a friend and was most impressed with the outcome. They now have a V2 listed with Mundorf silver/gold coupling caps for $1,100. This is a steal.
I can honestly say that this would likely demolish anything you are going to find at anything near the price point for driving the K’s (I own a pair of Snell K’s on which the AN’s were based). There is a level 4 version for $2,650, $2850-$3,100 with phono. But the base model sounds simply wonderful and will rock da house if need be. Into K’s it’s not second rate wrt SET’s (I build them) and gives very good account at low vols. It’s swings and roundabouts really.
If you can find a friend who is handy with a soldering iron I would say this is definitely the way to go for the lower price range. If you have a larger budget, then obviously I would advise you to broaden your search, but still not discount the L1.