In my younger days I have bagged 3 pheasant, 2 ducks and a Hungarian Partridge out of the air with a trad bow. Some were taken with cheap 'expendable' target arrows. But I got 1 peasant and the Hun with flu flus and the Snaro tip it worked great, fell away and was easy to find.
I never had a dog at the time (would have great for pointing, flushing and retrieving) but you have a good point that you would not want your dog to get the point - get the point!
In that I would reccomned the Snaro or a good blunt that would fall away.
One of the ducks flew off about 300 yards with a cheap target arrow stuck in it and landed in a wheat field. It took about 2 hours to find it and chase it down. It was not a fatal hit.