In medium bowl, mix together well the flour, corn meal, cajun seasoning, salt, pepper, and paprika. In second bowl, beat eggs with a little milk or buttermilk. You can also add a little hot sauce if you prefer a little kick.
Grill burgers to your preferred doneness, simply seasoned with salt and pepper. Butter and grill buns. Loosely cover. Set aside to rest and keep warm.
Heat deep pan, dutch oven, or deep fryer to about 350º.
Trim eyes, gills, (and water sacks from crabs to release excess water), pat dry. Coat with flour mixture well. Dip into egg mixture, coating both sides, letting excess drip away. Place back into flour mixture, and again, coat really well. Shake off excess flour, and carefully, slowly, drop into hot oil, legs first, and fry for approximately 3 minutes, or until golden browned and nicely crispy. (*Frying time depends on size of crabs.) Let rest on a paper towel-lined plate to absorb any excess oil.
Top bottom bun with a little of the remoulade sauce, tomato slices, red onion, and shredded lettuce. Top with burger. Top with fried crab. Drizzle with the Alabama sauce. Place on top bun and enjoy with an icy cold beer!
For Remoulade Sauce: Stir all ingredients well in medium bowl. Pour into "wide enough" nozzle squeeze bottle to drizzle if desired.(*Wide enough to let the chopped pickle easily flow through. *I just cut the end of the nozzle off mine to the basic diameter that I usually need.)
For Alabama Sauce: Whisk together all ingredients in medium bowl, pour into squeeze bottle if desired to use as a drizzle.
*Seasoned flour mixture for the crab makes enough for at least 4 small crabs, plus anything else you might like to fry while you have the oil hot, such as onion rings to go with! Go for it! Have fun and enjoy!