When I have a narrow line to cut, like your deer legs, I try to find a spot along the line where I can blend the hole into the cut out without it being noticeable. Sometimes this works, and sometimes not so much. It's one of those things you learn by trial and error. So far I drill everything with a 1/16" bit. I don't think my drill press will take anything smaller, and as you said, it can be hard to get a blade through smaller hole. I've been told that great craftsmen are not those who build great things, but those who hide all their mistakes while building great things.