Are any of those monitors 1080p or lower resolution?
The board does support higher resolutions, but the default configuration of the Debian, Ubuntu, and Armbian images doesn’t actually allow for it (the high-speed HDMI clocks aren’t enabled in the device tree).
First thing I’d try is installing the overlay mentioned here:
If nothing else, it should make your TV work with it, at least. The listed install procedure is for the official Debian or Ubuntu images, it’s slightly different on Armbian (but it’s in my post history).