need I say what I would opt for

but I will try to provide an unbaised view

access:

davao - airport which has international flights (silk air and I think garuda)
bohol - small airport but just a supercat ride away from tagbilaran is cebu/mactan airport

hospitals: I think davao has the edge here but I have only been to bohol twice and had no need for a hospital

i give up , based on the fact that I have only been to bohol twice as a tourist my opinion is

if you have the time, just spend time in both cities, maybe rent first before buying and then decide. as i am not familar with your situation but do you need to take into consideration income potential/business opportunities? how about your wife's relatives, do you want them close by or be as far away from them?