The first question I'd ask is why you're looking to switch in the first place. I have an almost identical wired/wireless Apple setup (1x AC, 4x N) in my house and I just can't find a good reason to change anything even though I'm using 'old' technology. Hard wiring the Apple routers creates a pretty good impression of a mesh network, and I just don't do anything that needs more speed.
Do none of the mesh options have base units with Ethernet ports? Do any of them support being hardwired?
Worst case, you could always use a wireless bridge to connect the Ethernet devices to the wireless network, but I always view wireless as inferior to wired anyway, so you'd kind of be going backwards.
I use a Linksys Velop system at home that replaced my two Airport Extremes. With my airport network, my phone would hold onto the connection to the one I first connected to, despite standing 10 feet from the other one. With mesh, at least it appears to jump from one to the next fairly quickly.
The Velop mesh units each have two Ethernet ports on them and I have them hard wired into my switch. They can either run with a wired, or wireless backhaul. Keep in mind that Linksys put out a firmware update right before Thanksgiving the other year that broke wired backhaul so people were freaking out that their Wi-Fi stopped working, when in actuality, if you unplugged the Ethernet, they would work again. It took a week for Linksys to pull that firmware and revert units to the older firmware, and months to issue a newer one with the fix AND wired backhaul support. So if you go with Linksys, I’d disable auto-updates. Also, be sure to set them all up in the same room and make sure they’re all up to date before placing them where you want them.
During that lovely time where I thought my Velop system had died, I purchased an Eero Pro system to replace them, and while the setup IS actually only a few minutes, which was definitely not my experience with the Velop or Netgear Orbi, the performance of them was nowhere near the performance of my Velop system. While my Velop gets over 200Mbps outside my house, which has plaster walls, concrete, and brick, the Eero system only got something like 60Mpbs. The other issue with the Eero was that the one I had in my bedroom had a high pitched noise coming from it when the LED was on. Thankfully, it had a setting to turn that off. Needless to say, I returned them after I discovered what the issue was with the Velop.