There are a few positions where non-competes are understandable. It is easier to carve out strict guidelines for having a none-compete than it is to exempt low-wage workers or have a comprehensive list of things that qualify for a non-compete.

So instead, make non-compete clauses really unattractive for your average employee. This would include things like paying the average wage over the last year, including any bonuses (or paying the average bonuses or prorating them another way), continuing to pay benefits such as health insurance contributions so the employee doesn't pay more, and things like that. I'd even be willing to put a penalty so the company would have to pay a bit more if their pay rate doesn't meet the industry standard in the area.