How to install Samsung AllShare or recommendations for other DNLA Server options?

You cannot install AllShare on linux without wine but I would not recommend that at all.

Why don't you try using a better DLNA server like Serviio?

It's free, works great with my Samsung TV, has more file format support then AllShare and does the job on the background not bothering you.

I mentioned Serviio but there are a bunch of free DLNA servers out there. Do a Google search on DLNA servers and choose one. Start with Serviio tough, it's recommended.