Roaming network with 2 APEs connected to internet

- run 1 Ethernet cable from fiberbox to the TC.......

- Switch the TC into Bridge mode to have the fiber box doing the DHCP

That should work. (See Note below)

feed the Internet via another Ethernet to the WAN port of APE #1 into the remaining chain.

That should work. (See Note below)

However, now the TC is no longer directly connected to the APE chain.

Since the TC is connected to the same Ethernet switch on the fiber product to which APE #1 is also connected.....the TC and AE #1 are, in effect, also connected with each other.

will I still be able to have ONE roaming Network,

Yes

- will all Network Clients still see shared devices (e.g. Printer) on the Network?

Yes, assuming that the fiber box is operating correctly.

Important Note.......Your plan to have the TC and all the APE's in Bridge Mode should work.....BUT....Apple has a different idea about how a roaming network should be configured. See the information about a Roaming Network in this Apple support document:

Wi-Fi base stations: Extending the range of your wireless network by adding additional Wi-Fi base stations - Apple Suppo…

Specifically......Apple would tell you to connect an Ethernet cable from the fiber product to the WAN port on the TC and set up the TC to handle DHCP and NAT....just as it does now. Then....everything else would be set up just as you have it now.....with an Ethernet connection from a LAN port on the TC to the WAN on APE #1, LAN on APE#1 to WAN on APE#2, etc.

If you follow Apple's advice......you will have a Double NAT error on your network.....which Apple will tell you to ignore. How well your network will work with a Double NAT issue is open to question.

I'm not recommending that you follow Apple's advice......just pointing out that Apple has some different and interesting ideas about how to do things, which sometimes go against traditional networking rules.

I would power off everything on the network except the TC, which will be slowly blinking amber at the time

Change the setting on the TC to Off (Bridge Mode) and let it restart and run a minute

Then, power off the TC

Make the wiring changes as needed

Power up the fiber box and let it run a few minutes

Power up the TC and let it run a minute

Power up APE #1 and let it run a minute

Same for APE #2

Same for APE #3

Power up other devices one at a time, about a minute apart

Nice work! That should be quite an impressive network!