This is one of the more popular commercial setups.
https://toddycafe.com/toddy-cold-brew-system
I prefer a coffee sock and a gallon glass jar. 12 oz. of coffee on the counter for 12 hours and you are good to go.
There are coffee socks and I think you could rig it up around the filter, here's one
https://www.amazon.com/CoffeeSock-ColdBrew-Filter-Certified-Reusable/dp/B015WTS0RS
Another thing that would help is buying coffee that's coarsely ground already, I know Bizzy coffee on amazon is ground specifically for cold brew, so I would try that or any other coarsely ground beans
Hope this helps!