ADs are your biggest danger area. The Aircraft manufacturer and the Engine manufacturer issue ADs that must be complied with and can be expensive. For instance buying an aircraft with an Alison 250 C20 engine, if the accessories gearbox hasn’t been back to an overhaul shop since it was built, then if you’re the unlucky bugger who has a problem you then become liable for the catch up ADs for the past twenty years!!! $30k is a common bill.
Pay a competent surveyor of YOUR CHOICE for a few days work and make them liable for their survey. Expect to pay around £1500 it could save you tens of thousands.