I think "need" is almost never a factor. Your challenge is to put together a system that you prefer over your past memories. It sounds like one of your goals is to minimize the pieces of equipment.
If you can find an integrated with a built in DAC that you like the sound of with the Focal speakers (I have Focal 836v speakers and love them), then you're set.
I can tell you that I love the sound of my Denafrips Ares II DAC and Pathos Classic One MkIII integrated amplifier (1960s Mullard Tubes) feeding my Focal speakers. New the combination should be under $5k. Based on the amplifiers you listed this is a bit more than you're looking to spend.