I have the exact same issue. New home with cat6 cabling in every room except my office. I didn't want WiFi (WAP or bridge) because it's in a "smart home" community and there is much interference. I went with MOCA (Up to 1.4Gbps Gigabit Ethernet ZyXEL HLA4205) because there was a RG6 drop present. You say that you're having problems with your MOCA and that you have "PoE Filters", so I assume you mean something like the ones I use:
https://www.amazon.com/gp/product/B00KO5KHSQYou did not say whether or not you are using the RG6 elsewhere in the house for TV. (I am.) Your RG6 cables probably terminate into a distribution transformer (splitter). I solved the interference problem by installing those filters between the antenna/CATV inputs and the distribution transformer. (If you have a cable modem fed by the same RG6 plant, you CANNOT use the RG6 plant for in-house MOCA.)
Here are some things to check:
1) Make sure you're using RG6 cable everywhere and that there is no RG59 cable being used anywhere.
2) Make sure all the F connectors on your RG6 drops are good. F connectors are generally poor and have a lot of insertion loss. You may need to scrape/sand the center conductor to ensure a good connection because it is sometimes coated/plated with some anti-corrosive.
3) Depending on the brand of MOCA adapter, you may be able to access the (undocumented) user interface by browsing to: http://192.168.1.3
Note that you'll need to change/add the 192.168.1.0/24 subnet to your LAN, and pick a non-conflicting IP address on that subnet in order to connect. Also, all the MOCA adapters have the same fixed IP address, so to connect to each one, you'll need to be on the Ethernet LAN side of the one you wish to communicate with. Once connected, you can see diagnostics with signal levels and a PSD graph that will show you if the frequency response of your RG6 cabling is poor. There may be some settings on the page that will allow you to change the "channel" numbers being used in your MOCA network. The menu on my (ZYXEL) MOCA adapters has a left pane with the following (JavaScript) links:
Device Info
Node Info
Statistics
Configuration
SW Update
The information page for each link loads in the frame to the right of the left pane.
With my MOCA adapters/filters, I get nearly gigabit speeds.
Here's what I get in my office (via MOCA):
Server: CenturyLink - Las Vegas, NV (id = 16446)
ISP: CenturyLink
Latency: 6.72 ms (0.13 ms jitter)
Download: 884.27 Mbps (data used: 834.4 MB)
Upload: 866.54 Mbps (data used: 690.7 MB)
Packet Loss: Not available.
Result URL: https://www.speedtest.net/result/c/db691c92-eb75-4307-8050-3...
And here's what I get in the rest of the house:
Server: CenturyLink - Las Vegas, NV (id = 16446)
ISP: CenturyLink
Latency: 2.94 ms (0.33 ms jitter)
Download: 938.62 Mbps (data used: 457.8 MB)
Upload: 940.63 Mbps (data used: 447.1 MB)
Packet Loss: Not available.
Result URL: https://www.speedtest.net/result/c/0a2005ee-b225-4d33-9bb9-0...
Note that the MOCA bridges add 3-4ms of latency.