E.W.
When you batter the CFS first do it dry with just the flour mixture (no egg and milk) and then dip into the wet and then dry. This will help the mixture not get to soggy and help the batter cling to the CFS. I always do mine in a cast iron skillet on the stove. I do not completely submerge the CFS just about 3/4 of the way up. Put it in on one side until it is very brown (not burned) and then flip to do the other side the same way. I would not recommend multiple flips because you may start to loose the batter. I heat my oil on high, then when I put the CFS in it cools the temp fast so I bring it back up in temp and then turn my temp down to Medium maybe Medium High so that it does not burn before the inside gets cooked.
Hope this makes sense =)