My uncle, who was fairly big in his prime, told me he used to eat only 3-4 meals a day, roastbeef, tuna, chicken, steak - basically anything with protein. He wasn't a big eater, either. He wouldn't always eat that much each sitting. He trained each muscle group 2x a week Mon/Tues and Thurs/Fri. He's 6' 2" and had about 18.5" arms, squatted 550, benched 400 or so, and deadlifted 400 (my family is known for bad backs).
My point is, you can get anywhere through pretty much any method of weightlifting, so long as you're progressing. Increase in weight means an obvious increase in strength and will lead to an increase in size.
If it worked for him then, it should work for me now. And with two extra meals a day thrown in, with a slightly altered training routine - I don't think I'll have any problem getting there. Considering my grandpa was even bigger than my uncle - never was into bodybuilding either, just lifted and was in the merchant marine. Interesting.