Dustin - First, Welcome!
The third photo (the base of the leaves) makes me think of one of the heavy-substance Masdevallias like rolfeana, picea, whiteana for starters... there are a number of possibilities, without flowers impossible to have any idea of which one, or whether it is some other Pleurothalid. I agree with Afid that the Pleurothallid group (which is huge) is a good possibility.
Now, to the issue of growing well (which it is) without blooming, some more info about conditions would help. The first reason I always think of that an otherwise healthy orchid doesn't bloom is inadequate light (intensity and duration), but if it's a Masdevallia or other Pleurothallid, I would suspect something else because that group are mostly low-light plants.The next possible factor that I'd think of is temperature - where do you live, where are you growing it? The whole group (if we have guessed that part correctly) are relatively cool-growers. So if too warm, or in very even temperature (especially not a lot of cooling at night) it would be easy to get growth without blooming. So, can you give us a bit more information?
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