Colorado as well has free testing for CWD. They'll even give you another tag if your animal comes back positive.
There are four major diseases of the same type (TSEs) that occupy different species. CWD (deer), BSE (bovines), and Scrapie (sheep, goats & rodents), CJD (homo) are all related diseases. It has not been definitively proven though that any of the diseases have ever crossed from one species to another. Scrapie, being a degenerative disease that is fatal in sheep has been 'known' as a disease since the 18th century. Strangely the incidence rate in humans of CJD is still relatively low (approx 1 in 1 million) given that if the other prion diseases should cross lines humans should have a rate close to that of sheep/goats (approx 1 in 75,000). This is based upon the fact that it is a hereditary disease (maternal) and that the consumption of brain, nerve and organ meat was much more prevalent in western countries a half century ago and prior than it is today. The low incidence in humans of CJD indicates that it is improbable that consumption of meat, nerve, and organs of tainted animals will lead to infection. Additionally predator populations in areas that have a high incidence of TSEs show a very low incidence of TSEs, being not higher than the overall mean for the species, this further indicates that eating meat and even brain and organ tissue of another species is unlikely to transmit the disease. There may be a genetic factor at play that makes some members of a predator species more suspectible to contracting it across species lines. Personally I think that the danger posed by CWD is much less than the media makes it out to be.
If you are concerned a few steps will greatly lessen your chances of eating material that is tainted with the malformed prions that cause the disease. 1) Shoot only older animals that 'appear' healthy. Ones that are vigorous and coordinated in their movements. If a deer or elk is not acting like other deer or elk, then this is a sign that it possibly has the disease. Unfortunately CWD is a rapid onset/rapid death disease. Even shooting healthy looking animals does not reduce the risk to 0, it only lessens it. 2) Wear gloves while butchering the animal. Not only will this decrease the risk, but it also decreases the risk of other blood borne pathogens. 3) Leave the spine and the braincase intact. This neccessitates a heart/lung shot. 4) Do not consume the organ meat. (liver, kidneys etc).