I usually use clipless pedals but I plan on continuing my riding through this winter. As such, I won't be able to depend on my typical cycling shoes. Seeing the prices of cycling boots, I'm inclined to forgo that option. $250 for boots of vastly lower quality than comparable non-cycling boots seems impractical. They don't even have properly welted soles.

I see there are plenty of options for strapless toe clips. I see them referred to as half toe clips as well. I'll also want a good pair of non-slip platforms to mate them to. My question is this: I wear size 13 shoes and I plan on using boots. Which of these clips will be large enough to accommodate?