Hmm. I don’t think so.
OP, I dissected out the fubar hock and some other stuff on a horse of mine that I euthanized. I had done some proper dissection at a vet school in the past. There, we got a diagram or textbook as you have and then gently cut in with scalpels. If you just want to see the tendons and ligaments, it won’t be a big deal to cut in through the skin, pull the blood vessels aside and take a look-and-a-feel around.
I suggest you study lots of the anatomy first. For your purposes, get some really good pictures of healthy ligamentous tissue first.
With those in hand, it won’t be hard to feel through the skin and know what you are looking at when you cut in. IIRC, I made a horizontal cut in the skin around the joint I wanted to see, and then used the scalpel to gently cut the fascia between the skin and the inside structures, just as you would if you were skinning a deer. Keep the blade just about parallel to the skin and you won’t nick things you don’t mean to.
If the horse has been dead for awhile-- like and hour or so-- I don’t think you’ll have too much blood coming out of any blood vessels you do hit down there.
If I were dissecting this out, I wouldn’t waste the opportunity to teach myself a ton about what all of the tendons and ligaments that I can feel on the outside actually look like on the inside. I’d see how high up the hind suspensories attach vis-a-vis the outside “landmarks” we see on live horses. I’d also cut into a simple joint like the fetlock so that I could see how what the cartilage looks like and appreciate the stoutness of the annular ligament there.
If you horse has some arthritis that shows up on films, I think it’s awesome to dissect out those joints and lay your personal eyeballs on the exostoses or holes in the cartilage that comes with arthritis. Comparing X-rays to clinical pain to the damage you see in those joints is incredibly humbling and informative. It has made me appreciate much better the stoicism and generosity of these horses and made me a more cognizant student of x-rays.
If you want a comparison and the front legs aren’t too bad, or there are fewer lesions high up, you can take a look at those structures on the same horse.
Good on you for wanting to do this. I think every horseman should take the opportunity to study anatomy as best they can. I think you might find that your vet is supportive of your effort. I’d like to see the normal- and pathological ligaments that you will see.