That would be completely up to you.
http://distrowatch.com/
That would be your best reference, virtually every single distribution is listed on that site. You will need to do your research and download which one would fit your needs. I can not really suggest a distro for you because what I do and what you do are two completely different things. I am more of a developer, therefore I use more bleeding edge and development software. I mainly use Fedora and OpenBSD, yet for you, it could be something else.
As far as not burning to a disc, how else are you planning on installing?
Cheers,
Josh