Chironex

Well Six, it all sounds good to me. Bananas do respond to the blue spectrum. A good mix of red and blue is ideal. I am no light expert, but there are some threads that will help you.
As to the high desert concerns, I am in Las Vegas along with about 3 other B.org members. All of us are growing bananas. So if yours is inside and you have higher than ambient humidity, no doubt the banana will like it.
If you are hoping for it to fruit, you may have to increase your light intensity.
As to the fertilizing, they do like a high potassium level, minimal phosphorous and a nitrogen content at about 2/3 of the K levels. An example is 20-5-30. There have also been several posts about fertilizer.
Once you get the light, moisture and fertilizer regime down, your banana will thrive. When it is not thriving, that's what we are here to help you correct. You can also post pictures of your new banana as it grows. Good luck!!!

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Scot