Frodo's Barrow Dilemma

[Inziladun]

(Frodo) wondered if he put on the Ring, whether the Barrow-wight would miss him, and he might find some way out.

FOTR Fog On the Barrow-Downs

Here are some novel questions: Would the wight have seen him? Do they inhabit the same shadow-world as the Nazgûl? Would this plan of Frodo's have been viable (though cowardly)?