A quality HDMI fiber hybrid cable is going to be in the $100 range, and is best served by using a external power supply/inserter.
Hybrid HDMI cables can go well beyond 50' without issue as the main data is on fiber while less important information is carried on copper. It's a solid solution, but it does have active chips in it to perform the fiber conversion, so it needs power. In theory, this power can be supplied by the connected HDMI gear, but it is safer and more reliable to use a HDMI power inserter.
I've used this cable several times in the past with good results...
This is the HDMI power inserter that others have recommended (I bought one, but haven't used it yet)...
Be aware, that if this is a DIFFICULT location to run cabling to, then please run a couple of category 6 cables to that location from the equipment location so that you can use them in the future as you need to.
As for ARC or audio out of your TV.... WHAT THE HELL MAN!!! Just get a streaming device like a Roku. Are you connecting an antenna to the TV? The top rule for most decent installations is to just NOT use internal apps or functionality built into a TV. It tends to be poor, bad, or just unusable. Or, when it does work, it causes headaches with the setup. Maybe ARC works, maybe not. Depends on how well it was implemented across ALL of the connected devices. That said, optical audio out of a TV works perfectly fine, up to the capabilities of the TV itself. Long fiber cables aren't overly expensive.
HDBT extenders are great and you get a very specific custom length out of them with the connected cables which is nice. They also can be upgraded to newer models with added features (like ARC). But, they are pricey to get there. If your system supports 4K, then I would go with a fiber HDMI cable instead of HDBT if it works within the system.