I did a couple of events on all season radials when I first started. Lots of sliding around, and those small tread blocks really chunk up. Your Contis might do a little better, but still a good idea to put a more aggressive tire on.
Function before fashion.
'96 Contour SE
"Toss the Contour into a corner, and it's as easy to catch as a softball thrown by a preschooler." -Edmunds, 1998