I've uninstalled 3DEM because I finally upgraded my GlobalMapper to the new version so I can't tell you for sure whether it will open NEDs. When you unzip your USGS download you will get a folder with a subfolder of the same name. Inside that subfolder you will find a file called "w001001.adf" which is the file containing the elevation data (it'll be the biggest file).
The best data you can get for most of the US is 1/3" NED (around 10m). 1/9" is available for a few small regions. To see the coverage, select the desired elevation set in the DISPLAY section. I'm not sure of the differences between 1" NED and 1" finished SRTM3, but I do know that the 3" SRTM3 is not adjusted to show a "naked" terrain. There are visible bumps equivalent to rows of trees etc...
I see they've gone for a brownish colour scheme this year...
It's been ages since I downloaded from Geocommunity, they had DEM files for download which you can open in 3DEM. Only problems were that you need to download a lot of tiles, and you now have to pay to download 10m data.
Canada is probably the next best for free data <
http://geobase.ca/> although the coverage of 10m data is on a state by state basis. At least they have DEMs for download which shouldn't be a problem for you.
Which area are you looking at?