I assume the purpose of your trip is to get outside and enjoy the park.  If you put in at French you start your trip with paddling across French and then Pickeral Lake.  If the weather is bad you make the most of it.  If you put in at Stanton Bay, you have to deal with an outfitter and the transferring of your equipment.  You also have to assume that you arrive at French at the right time.  That your outfitter gets there on time and the road to Stanton is open.  It just seems that putting in on French avoids hassles and cost.  If you put in at Stanton and the weather is bad, just like French Lake, you'll have to deal with it.  My preference is reduce the number of moving parts that you have to deal with.