Your question is a bit confusing, but I assume you want to use fork drops in place of standard rear dropouts. If so I can't imagine why, unless you think it would look cleaner.
While it could be sturdy enough (using the right dropouts, and careful placement of the ss's), there's three reasons I wouldn't- the slots are 9mm (but could be enlarged), the slot angle may not be optimum for safety (so you'd want to keep the lawyer lips), and you lose the luxury of having chain adjustments.
I've built two single speeds with standard road drops. Never again. Since there is no chain adjustment, you got's to fiddle with half links, chainring and cog sizing for a good fit. You could run a tensioner but that defeats the purpose of simplicity. Then the chain stretches. I've used both hooded drops, and lugged drops and lopped off the DR hangers. Now it's a bit of extra work to convert them back to a geared setup.
Stick with a track type drop with a horizontal slot.