If you're brave enough, you could go down to 17"
https://forums.nasioc.com/forums/showpost.php?s=7b5cfd7c73f56de39523b7ad0df727ac&p=45290583&postcount=20Look at that clearance lol.
Anyway, I ran studdless Hakkas for the last 5 years. They were 9 years old by the time I replaced them. I replaced them with 05LGT's cheap Chinese Champiros studded tires.
Verdict: Hakkas were great. Champiros are great. Champiros are a lot more tail happy, I find, but I could also be driving more aggressively/carelessly because I don't care so much about burning cheap tires, where as, I babied the Hakka's.
Keep in mind, the Hakka's lasted 9 years. Who knows how long these Champiros will last.
I also have a set of Westlakes with oversized studs which I use for ice racing. They have only seen a dozen events at most, and are already chunking.
I have also raced with the studdless Hakka's, and I was worthless with them. Absolutely no control, understeered through every corner, steering and brake response were all delayed or non-existent. Went on with the Westlakes the next year and I received "Most Improved" reward. For everyday DD'ing, I'd recommend the Hakkas.
Overall verdict: A good choice would be any winter tire. A bad choice would be, not a winter tire. Don't stress out about the make and model too much.