Peach Goldens are so inbred that they have a serious problem being fertile in the first place, so it doesn't really matter whether you incubate with a machine or a bantam hen, I doubt the hatch rate would vary much. IMO
Send all your Peach Golden eggs to me....they won't get a disease that way! :lau
But seriously, keep the pheasants separated from your chickens.
Some folks raise them together and have no problems....yet! To me it's just a 'ticking timebomb'. Not only a threat of disease but possibly losing...