I don't understand why they need to search an area "the size of Connecticut" as the US Coastguard said, which is about 5000 square miles. Surely the mother ship, the Polar Prince, knows where they descended from and the sub goes down more-or-less vertically. So it is either stuck or wrecked on the bottom around where it was going for (and they did allow for any current on the descent, no?), or it is buoyant and on the surface moving along with well-known currents. In the latter case it could be in a much wider area but also much easier to spot, but I understand that the clowns who designed this thing did not consider an emergency radio beacon or even a radar reflector to be necessary.
The interest is in the circumstances and the long running nature of the suspense, not in how much money they have. There was similar world-wide interest in the Thailand cave rescue drama and I don't think those boys were super rich.So we have the worlds best resources to hunt for a few super rich people who knew what risks they were taking