If price is not the top priority, I would personally opt for a premium stainless like ELMAX, CPM-S35VN, CPM-154, or CTS-XHP. With the tasks you are doing, wear resistance, toughness, and corrosion resistance are all important factors. All of these steels fit that bill perfectly. M390 will hold an edge longer than ELMAX, and it has outstanding corrosion resistance, but I believe that the toughness of ELMAX makes it the better choice for your application. (There are quite a few videos showing ELMAX's impressive toughness.)
As all of these steels have excellent corrosion resistance, you can pretty much use whatever disinfectant, cleaner, method you desire without having to worry about oxidation. Given how much of a pain blood can be to get off once it dries, plus its tendency to stain, plus a need to generally disinfect a knife used for prep of raw meat, I personally see good corrosion resistance as a big plus, and especially if you use something like Accelerated Hydrogen Peroxide (outstanding disinfectant, and arguably the best on the market today).
How hard these steels would be treated to depends on the knife itself, especially the size. As the knife gets larger, I feel treating to favor toughness and ease of field upkeep is optimal (usually at the expense of edge-holding). At a certain point, steels like M4, L6, A2, 5160, 3V, etc. could be more appropriate, especially if the knife will see impact/shock (generally the downsides being a higher price, lesser corrosion resistance, and sometimes less wear resistance).
1095 and 52100 also great choices IMO, especially if it is coming from a custom maker. A competent knife maker can make 1095 or 52100 hold its own with darned near anything. While not often discussed, there are quite a few custom choices in 1095 that have excellent geometry, an excellent heat treatment, and a super-reasonable price.
Another possible option is just a $25 Spyderco Utility Kitchen Knife. Made from MBS-26, it's a good steel for this as well. The quality is excellent and the low price is a benefit when a high quality knife is needed for tasks that tend to be hard on knives.