Node-webkit should be working, in fact it works better than any of the browsers (except possibly chrome), you have to disable "minify script" on export though, since minifying is not currently supported (this plugin uses loads of external dependencies and is a huge headache to make minifiable).
EDIT: hmm, the previewing in nodewebkit works but not the export, not sure whats happening so ill have to investigate.
EDIT 2: Looks like it might be a bug with the exporter too, i got exported node webkit to work but i'm getting some errors on export but not on preview, which is very strange. Everything might work if you export without minify, but this bug is a bit unsettling. seems related to custom functions declared as instanceProto (no idea why they're breaking only on export through nodewebkit but not preview though, Ashley might know)