I use a stainless steel vegetable steamer insert or basket to put each sandwich into the oil then a rack to let it rest after frying. They are a bit work intensive, but WELL worth the effort in my opinon.
I never thought of trying it that way. I have just grilled it like a grilled cheese sandwich. I cut it in triangles, dip it in the egg batter and grill on all sides. I will try the basket insert next time.
Sometimes a Monte Cristo sandwich is sprinkled with powdered sugar and served with a strawberry sauce. Because it has all that ham and cheese inside, I prefer it without the sauce or pwd. sugar.