Well, I do my best, but pelts are a lot of work. Even without the pelts, I think I am using more of the animal personally than I would be if I bought meat in the store. Sometimes I tan pelts, but I also have a real job so...I tend to use a captive bolt followed by exsanguination (stun and slit throat) for adults and cervical dislocation followed by exsanguination (break neck and slit throat) for rabbits under two pounds.
So, you may want to look at the American Association for Laboratory Animal Care or American Veterinary Medicine or the FDA recommendations for rabbit dispatch either for food or research use. These ARE, in fact, based on research, which has actually been done.
I come from a farming AND an animal research science background. I have worked with these kinds of questions for decades, with extensive third party committee oversight. I agree with everyone who says what works best is what is fast and the human dispatcher can handle. After years and years and years of euthanizing and harvesting animals for one reason or another by several methods, what is objectively best is either whatever is fastest, or doing everything under heavy anesthesia as in a surgical procedure.
Obviously for meat production anesthesia is not generally an option, as some is likely to remain in the animal's tissue following death. Thus, dead is dead, faster is better. In my opinion 90% of what causes animal suffering at the time of death is the squeamishness of the dispatcher. All that is required to give a humane end is total commitment, and a small amount of skill/knowledge.
It is a good idea,
@RabbitDad, to educate yourself before attempting to harvest an animal. It is also a good idea, when seeking that education, to remain respectful towards those who respond. If you remember that you will find that you will learn more, and no topics are off limits. If you forget, all topics can be problematic. Text is a difficult medium, and prone to misunderstanding, so it is best to double your polite meter when communicating that way.
In case you are still interested in the research I mentioned, may I introduce you to PubMed? It is a research search engine that I find helpful, but the articles you find there are written by scientists for other scientists, so sometimes the language can be a little tedious and hard to understand, depending on your background. As a scientist, I am happy to offer clarification if you have any questions.
rabbit euthanasia methods - Search Results - PubMed