Need it be an integrated? For 4K you could look at used Manley Jumbo Shrimp with Manley Mahi Mahi which would absolutely rock the Rogue (no offense) as the price levels are quite different. You talk about lush tube sound, extended highs and tight bass. That is where EL 84s live, not as lush as EL 34s but quicker with very controlled and extended bass. Find a dealer if possible and check it out.
I assure you this is a tough combo to beat at 4K.
I assure you this is a tough combo to beat at 4K.