It's not really supporting the network though, especially if you only have a few TH/s.

There's already over 250 PH/s on the network, most of which are by those huge industrial mining operations.  If you pull your miners or shut them off, no one will even notice.  So in actuality you're just really losing money for no reason.

If you really want to support it, just serve as a node, evangelize Bitcoin to your friends, family, or co-workers, and generally just continue to use it when you can.

Mining isn't supporting Bitcoin for the home/hobby user.  It's just making your pockets alot lighter.