Most orchids do well with very dilute fertilizer applied often during the growing season. Too much fertilizer can kill their roots, though. So it is better to use less rather than more.
Some people like to use a very dilute solution every watering, and others use a slightly stronger solution every 1-2 weeks. But "very dilute" doesn't really mean anything. There are simple ways to measure how much to use.
Fertilizer has 3 numbers on the front label. They stand for the percent of Nitrogen - Phosphorus - and Potassium (Kalium) in that fertilizer, by weight.
What does your label say? It might look something like 10 - 10 - 10 or 30 - 30 - 30. A fertilizer with a first number of 30 would contain 3 times as much nitrogen as a fertilizer with a first number of 10.
This is why advice like "use half strength" isn't useful. It depends on how much is in your fertilizer to start with. Different fertilizers, even with the same numbers on the label, may say to use different amounts per gallon. So "quarter strength" of one might be a different amount than "quarter strength" of another, even if they had the same number. A number of beginners have posted photos of their fertilizer labels here, and we have spotted typographical errors in the directions that could have led to damaging their orchids.
"Half strength" of 30-30-30, when "full strength" is supposed to be 1 tablespoon per gallon, is too much for many orchids.
A better way is to use an easy-to-use online fertilizer calculator to figure it out for you. Nitrogen is calculated in parts per million. If you fertilize with every watering, you can use 10-25 parts per million of nitrogen for your Phalaenopsis. If you fertilize once a week, you might want 20-40 parts per million. This is usually a very small amount of fertilizer, a half teaspoon or less per gallon.
You input the nitrogen number on the label. Then you input the amount of nitrogen you want in your solution in parts per million (PPM.) The calculator tells you how much of your fertilizer powder to add to a gallon of water.
Here is the fertilizer calculator:
Nitrogen Management Calculator - First Rays LLC
At the above Web site you can also read a huge amount about fertilizer and how to use it.
I don't know what's in Miracle Gro orchid spray. Is that a liquid or a powder? Are you supposed to mix it before use? What are the three numbers on the label?
Another thing to think about - Arizona water usually has a lot of dissolved minerals in it. You see this when tap water dries on your windows. Most orchids don't do well with a lot of dissolved minerals in the water. If you add fertilizer the problem gets worse. Store-bought hybrid Phals like your girlfriend's are better able to tolerate dissolved minerals than some other orchids, but no sense pushing it. If you're using high-mineral Colorado River tap water consider using a very low amount of fertilizer, like 10 parts per million, and use it more often. A lot of people collect rain or use reverse osmosis water on their orchids to prevent problems with high mineral content.