From my experience (and I'm no professional), you don't have this type of problem. I use plastisol ink, which is PVC based. Though you want it to be creamy, when you flood the screen, it stays. You don't want to drive the ink through the screen, but rather just lay the ink on top of the emulsion.
If you were to lay ink on your screen and start printing, you'd probaly get spots of the shirt that don't have a good amount of ink layed down. When you give an initial flood stroke, you are sort of prepping the screen with ink. Since you have off-contract, there is never ink touching the shirt, and it doesn't drip through the screen or anything like that (I guess unless you were using a very low mesh like 60 or somethin).
I did a quick google search and found this link that provides a little more information:
Screen Printing Squeegees: How To Pull Prints