When I say "old school", I really don’t mean anything negative about it. The circuits are all good. What I’m really saying is that you’ll want to replace all the electrolytic capacitors - they do dry out. The Krell KSL is from 1992!!
Suggestions would be based on what you feel you are missing. Do you feel like you are missing bass punch/weight and low midbass body? Or maybe bass is okay, but you’re missing resolution.
If I had the HiFiBerry, I think my first thought would be to go after the BAT VK3i there’s one for $899. That would give me the bass/body. The BAT stuff has extremely good bass, but some find it lackluster in the high frequency detail and excitement. You could always start experimenting with tube choices. New tubes are still being made and the industry is not going anywhere.
Otherwise, there’s a Krell KAV-250p for $725. This will probably give you more resolution, but you’ll want to replace all the electrolytic caps. Maybe look into Conrad Johnson to see what the general sound signature is like (I don't know anything about it)
The McIntosh stuff is generally very laid back and may feel like you are missing resolution. Since you like where the Bryston took you (with more articulate instruments, etc.), you may want to lean towards Krell (or that Conrad Johnson).
What’s your budget for preamp?