It may be worth considering booking under some of your family names, maybe with a Prive or Work From Hyatt rate that would get you a lot of the Globalist benefits?

It may not make sense in many cases since there's likely resort fees involved, but when the Prive rate is ~10% or so higher than the member rate then the 4x points may outweigh the extra cost. The Work From Hyatt rates waive resort fees and include breakfast (plus maybe a separate room, depending on the property) so they can also be a good option. You'd also get the extra milestone rewards for those other family members.