You might want to let us know what state you are located in.  Summit County Colorado had a lot of public land such as all the national forest land but a lot of the deer this time of year are on private property.  Summit County Utah also has a lot of public land and like wise the deer move to lower ground and the private property. 

If you call your state department of Fish and Wildlife (aka Environmental Conservation, etc.) they will often have maps either available or readily online.  Here in NY we actually have a few places designated as not only public access land but "Public Hunting Area"

Just make sure that you where plenty of blaze orange because you don't know who else might be in there!

Never heard of the Myhuntinglands site?  Has anyone ever used it?

I know some states put out info on public land to assist the hunters.

Other states, like Nebraska, also have agreements with private landowners to open their land to the public for the purpose of knocking down the deer herd.

As was said, I'd contact your Fish and Game, wherever it is that you live.

Good Luck!