Since you do not require eggs in your diet, you would prefer rabbits.
You can trade those eggs for whatever you might need at the time with someone else; or you might raise chickens for trade with others.
Just my thoughts on the matter. Have a nice day!
Hah! Yeah, that’s why I was leaning more towards rabbits. I’d also gotten leery of poultry diseases vs rabbit diseases, tho again I could be wrong on that.