You will want a HDMI splitter with ARC support. But, I'm not sure this exists. The idea being that if you have a 1x4 HDMI splitter currently, you will want to replace it with a unit that has ARC on output 1 and just normal HDMI on the rest of the outputs. The rest of the outputs will not support ARC and will only carry video from your receiver to the other displays. So, if you are using ARC, none of your other displays will show anything... because that's how ARC works. It overrides the internal audio/video of the receiver and takes audio only from the source.
Since this doesn't seem to actually exist, then you can't do it. INSTEAD - Just run fiber from your TV to your receiver and use that for surround sound. Assuming your television has a optical audio output. This should give you the same quality audio as if you were using ARC.
OR - Use a Roku. Unless there is something specifically built into your TV that you MUST have that Roku doesn't support, then just use an external 'smart' streaming device like Roku, AppleTV, or Amazon Fire. Those devices just plug into your receiver and you get great video and audio directly to the receiver and your splitter without using ARC.
Plenty of receivers out there have dual HDMI outputs. Some also have dual zones, so you can run a cable box in the family room, and watch something different in another room.
For example, this has two outputs for the main zone as well as a third HDMI output to feed a second zone by itself directly.
Architected for Performance. Constructed for performance, this 7.2-channel AV receiver features an ESS SABRE™ DAC, seven HDMI inputs, three HDMI outputs, Dolby Atmos® and DTS:X™, Zone 2 function, Phono input, Wi-Fi®, YPAO™ with Precision EQ and much more.
usa.yamaha.com