OP,
If you have the long term desire to have a great system. Then audition these integrated amps… and maybe a couple more. Save a few more dollars. The “under $10K) for an integrated is a key price point (I think a lot of Boomers are downsizing and want really high performance) in a smaller footprint. I think this is the sweet spot for “affordable” high end.
Then wait whatever time you need to buy an appropriately matched streamer and DAC. You could take the intermediate step in getting a Schiit Yggdrasil ~$2.5K (often considered to compete with DACs at twice the cost) to hold you over. Then the next step would be a streamer (Aurender N200)… then later upgrade the DAC.
This way each step gives you significant sound quality improvement and at the end you have a synergistic system with all components at roughly the same quality level.