Non-studded winter tires work fine on dry roads, they just wear out faster. (Also the car will to an extent get boat-like properties, due to the too soft tires. But it's not safety-related.) What you really need to avoid with winter tires is very wet roads. Standing water and the like combined with winter tires is a recipe for aquaplaning. (Only if you're going above ~45 mph, though.)
Studded winter tires excel on smooth ice in ways no other tires come close, but the studs wear out fast on dry roads, and you'll generate a lot of particulate matter, so they're not great for the local environment. Studded tires also don't like standing water.
Currently I'm using studless Nokian R2, but when I replace them, I'm very much considering studded Nokian Hakkapeliitta 8. I've only been using the combination studless winter tires and FWD for 1.5 years, before this I had AWD, and some days it's a real challenge. I really have to be critical of which routes to take if the weather is bad, and more than once I've had to reverse down a slope to try to get a running start. Really the only reasons I can make studless winter tires work for me is that I can walk to work and I rarely drive in the mountains. If I had AWD, though, non-studded winter tires might be sufficient, even in bad conditions. All season tires = summer tires, so they aren't worth considering.