Unfortunately, tracking a wounded animal on someone else’s property without permission is not hunting, it’s trespassing. I don’t want to see you get in trouble with the law for you, or your family.
That said, for a while, when we had more frequent run ins with hound hunters, we used to hear things like “my family has been hunting out here since the Civil War…we have more right to be out here than you do.” One guy even told my father he would hunt from our front porch if he wanted to. Ironically, these folks normally didn’t live out there, they just thought they owned everything there, even though they owned none of the land, nor did they pay taxes on it. Well, we just politely reminded them that times have changed, and the property is now ours. Fortunately, their numbers have dwindled, they are tired of dealing with us, and they are scared of me hauling them into court (I’ve taken two of them, both resulting in multiple convictions) but they are still able to scrounge enough money together to lease a 300 acre parcel or so out here.