Its my understanding that if you use a hose sprayer, you need to assure that you either have well water, or that your city water is chlorine free, or it will kill a large percentage of the good bacteria you just created.

Secondly, there is no shelf life for compost tea. Once you are finished brewing it, you have about a 2-4 hour window to get it applied.

Other than that, your ortho sprayer should work just fine, and remember, it does not matter how much water you use to get it down. If you use 10 gallons, or 500 to completely put down all your tea on your yard, you have accomplished putting the bacteria into place. Runoff would be bad of course.

I'm getting one of these hose end filters to be able to use my Ortho sprayer as well.

Here is a link that might be useful: Gard N Grow filter.