If you buy one of the Sonnare Ethernet-to-USB products, such as the SonicOrbiter or microRendu you sort of have Ethernet to your DAC. I have both products getting wired Ethernet to my DACs via USB. I also use a PowerLine adapter to extend my Ethernet to my bedroom.
https://www.amazon.com/gp/product/B00AWRUICG/ref=oh_aui_detailpage_o05_s00?ie=UTF8&psc=1My music is on my server in the laundry room. I also use ROON and Tidal for my music management and streaming subscription needs. These can be controlled by multitudes of mobile and desktop computing devices. This is the type of setup you are likely looking for. I am not going to recommend an integrated amp for you since now with this typology you can use any USB compatible DAC/integrated.
I have been doing digital audio since maybe 2002, starting with the original SqueezeBox and Benchmark DAC1, My current setup is the most advanced and useful configuration I have ever had.
I recently posted a new thread on the DAC section of A’Gon about the future DACs and Ethernet, you may want to read that since it relates to your Ethernet requirements.