I will assume that SH indicates semi=hardwood. And ,yes, I have had much success with a covered propagation box in a heated greenhouse. The method has yielded a high percentage of well rooted cuttings mostly using Perlite/peat at a 3/1 ratio.If you have a highly sheltered site available, your cuttings will overwinter quite well outside. Our winters here in Virginia are very unpredictable so I leave rooted cuttings in an unheated section of the greenhouse minus the propagation box cover. The primary problem is overwatering which usually induces fungal growth. Good Luck!!!