If those little 3/8 screws wreck your shoes, you got taken on the shoes. Anyway, this is a lightweight backpacking forum. All the slip on options weigh way too much.
While this is a lightweight forum, you have to look at the motive behind lightweight. The philosophy is a better connection with the outdoors (if it was solely about easing stress on the body we'd be horse-riders or 4x4 junkies).
If we are truly going lightweight to cover more distance and enjoy our time in the wilds better, it follows that we care about the wilderness. If so, then we should be stewards of the outdoors. This brings up the Leave No Trace concept that is huge amongst outdoors folk, especially lightweight backpackers.
Screws in the shoes are a lazy man's solution to mixed trail (mixed trail being the focus of this thread by the OP). They studs create needless wear and tear on iceless trail sections during winter, a time when there is little root growth to help stabilize the soil.
If the sole goal was to reduce weight, why even bother with screws? We're adding weight to have them in the first place (and then we need to carry a driver and extras for when they fall out). I haven't done the research on drivers, but I'm sure most weigh over an ounce, cheap, small tools usually aren't made with weight as a consideration.
YakTrax weigh a mere 4oz, are removable, provide similar traction benefits to screws, more wear tolerant and on top of all that leave less of a mark on exposed trail than screw type solutions should one not take them off.