Have you considered the idea of learning echolocation? Here is the beginning of a series of blog posts from blind programmer Austin Seraphim about how he learned to use echolocation to navigate the environment and get a spatial sense of things without touching them. He learned it from a teacher from World Access for the Blind.
It came to mind because you mentioned a National Federation of the Blind training center, and I'm not sure what you would learn there, but I'm pretty sure they don't offer echolocation training.
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