I've cleaned many a dove that exact same way, works well. I've also found doves to be one of the easiest birds to pluck if you want to have a whole bird to cook. Cut off the legs, head and wings first then start plucking. Whether you pluck them immediately after killing, while still warm, or at the end of the hunt, when the carcass is cool, the feathers come off easily and very cleanly simply by grabbing tufts of feathers between your thumb and index finger. Then it's a simple matter of making an incision from the base of the breast bone to the tail and cleaning out the cavity with your fingers. It's really amazing how easily and cleanly they pluck. I'll admit that there's only a little bit of meat on both of those tiny legs, but there is some meat there. Many times I'll place the plucked whole birds in the crock pot and cook em nice and slow. A great meal. Either way, breasted out or whole, they are some good eatin for sure.
As for the rabbits, if you slowly still hunt around the available cover in those fields late in the day you stand a good chance of sneaking up on a bunny within range. My favorite time to stalk bunnies with the airguns is late in the day during the last couple hours of legal shooting light. That's when they are most active and if you move slowly and are VERY observant you can spot them long before they spot you. One of the best times to stalk bunnies is the first nice sunny day after a heavy rain. Concentrate on areas facing the sun,,,, the bunnies like to come out after wet weather and sun themselves to dry out and warm up.
Jeff