You could defrost in microwave, if you need it to move along quicker. I generally defrost for a minute at a time, then take it out and scrap off whatever has defrosted and continue...that way, you don't cook any of the meat.
I suppose you could go without eggs...never tried it, actually.
My family loves meatloaf, so I'll share the recipe...hamburger, GF Rice Krispies, egg, ketchup, GF soy sauce (or Thai Peanut, depends), garlic, ginger.
My mom used to make some sort of hamburger pie...she's use a ready made frozen crust and put it in a deep dish pan, and fill it with a mix of browned hamburger, tomato soup, cheddar cheese, and corn. Second pie crust, cut some fancy designs, and bake it for however long. Sorry I can't be more specific, because I don't make it myself...but it was very tasty.
Hamburger...we also use ground beef in stir frys sometimes, and also in a green been casserole (basically, green beans, hamburger, onions, some sort of potato, cream of mushroom soup, and cheese.)