I need a reliable web host that has clamAV installed and allows me to scan my own files. What do you recommend?
We offer this option and majority of the web hosts with cPanel utilize ClamAV for scanning files. So, look for any cPanel host and just contact them to make sure.
I think if you have VPS account you will be able to do that and host whatever you need to. But on shared web hosting that would be impossible.