tekjunkie28
The garden sprayer is a good idea and is used in commercial extraction.
I respectfully ask you carefully consider the possible short comings of that procedure with the Rainbow extractor.
1. It is possible to over wet the carpet between manually applying solution
then rinsing the area adding more water. The Rainbow isn't at the performance level of commercial or even home rental units.
2 Possible graying of the carpet due to insufficient rinsing of the carpet
because the Rainbow again will not be able to recover the water that has soaked down in to the carpet. As the carpet dries that moisture is going to wick back to the surface and or wick stains back to the surface and or dark streaks if all areas aren't sufficiently rinsed and dried.
These are the very challenges professional carpet cleaners face even with the equipment available to us. I have seen the same results after people I know had someone with a truck mount extractor clean carpets. Mostly due to the equipment wasn't set up properly or maintained to properly recover the water used to do the cleaning.
At the very least if do want to try this procedure do a 3x3 or 4x4 test area in a corner and see what the results are in water recover and or over all appearance. before going any further.
You could possibly void warranties as well as be disappointed with the end result after all that work.
You want to recover any where from 80% to 90% of an water applied for proper drying. Monitor how much you apply verses how much you recover.