In my experience, there are four offshore jurisdictions worth looking into when it comes to banking. Hong Kong, Singapore, UAE and the United States (yes you read that right).
All four have very solid banks (unlike Cyprus, Belize, St Vincent, Latvia, Mauritius etc), top notch products, top notch wealth management units and top notch investment products.
All four require a personal visit but that shouldn't be a problem as the visit only lasts an hour or so (can be an in-and-out trip if you are short on time).
Quality is important here folks. Do not put your money in some corrupt banana republics.