The infrastructure of an offshore jurisdiction is important. You would not like to place your corporate nest-egg in a country which takes ages to get through by telephone. Factors such as quality of telecommunications and internet, physical access to the country, business language, work ethics, legal system, confidentiality culture, exchange controls, quickness and variety of administrative and financial services obtainable all can influence the smooth running of your business. You should be able to travel to the particular offshore jurisdiction easily, safely and without visa.
Take time zone into account – dealing with a jurisdiction on the other side of the world may regularly make you lose a day while communicating via email, or to make calls in the middle of the night.
Work ethics is an significant factor. Some regions of the world tend to be more laid back and relaxed than others – not useful if You need something done fast. Some countries are historically blessed with diligence, confidentiality and prudence. Some are less so.