As you know, mid-September to November in autumn and mid-March to May in Spring are the best times for a Nepal trip. According to your time in February for the Annapurna Base Camp, normally it is not appropriate, but you really like to do it due to your holiday only this time, it is possible. It will be still good weather with crystal clear except a cold, and the tea house will remain open. If there is heavy snow falling then, you can go Poon Hill Dhampus Trek alternatively.