I happen to have asked 健康院 about this, they said you can go ahead with 5-in-1 with private doctor who should mark record on the 針咭 so that 健康院 knows about it.
As for choices of vacination schedule with 5-in-1 or 6-in-1, I think the below link is excellent:
http://www.baby-kingdom.com/promo/capa/page4.php