I also live in Colorado Springs, and you are correct that the city laws don't say anything about rabbits. Which means - there's no law against it! Just be reasonable, and don't exceed the nuisance laws - keep any noise, odor, and unsightliness away from the neighbors' senses. And there are laws affecting how/if you can sell animals from your property (and how many, how often, etc), but if you are raising them for your own consumption then those don't apply.
I have a buck and four (soon to be five) does. I keep them in individual hutches inside my over-large chicken run.
The chickens are really, really easy to care for. They don't smell, they make a little noise but not much, and they produce edibles every day. I'd recommend a small flock of chickens to almost anybody.
The rabbits aren't so easy. They are silent animals, but the droppings DO smell, because I don't have a good sanitation system set up yet. The droppings fall to the ground and the chickens scatter them around. The urine soaks the straw on the ground and keeps the droppings damp. I have to muck out the chicken run because of the rabbits. But I need the rabbits inside the run because the run is predator-proof, and of course there are raccoons and all sorts of predators in COS. You either predator-proof a chicken coop, chicken run, rabbit hutches, etc - or you don't have animals anymore.
Of course once the droppings, urine, and wet straw are in the compost pile, they stop smelling and start breaking down. A good compost pile is probably a necessity for in-city rabbit raising.
One thing I did before getting rabbits with the intention of breeding was to buy a couple young meat rabbits and process them all the way through. From live animal to dinner main course. I had to know I could do it, I had to know it wasn't overly time-consuming, and I had to know that I liked the taste! If you do that, you might have less concern about convincing anyone, because either they're OK with the process and taste or they aren't.
Same thing with chickens - I bought two meat chickens and went through the whole processing experience wtih them, too. From live animal to dinner dish. For the same reasons. Chickens can get a variety of things wrong with them and I needed to be sure I could put one out of its misery, too. The chickens I have now are exclusively for eggs (at least until they get too old), but the knowledge is still important.
As far as rabbits being "all white meat" - that depends on your definition of white meat. For one thing, it's dark. At least my rabbits are becasue they have plenty of room to run around and develop their muscles. But on the other hand, it has less fat than meats typically called "red meat" - the fat content is more in line with "white meat" - and in some cases there is less fat than even most white meats. So that's a definition thing.
I feel like I'm rambling, but I hope this information helps!
