I believe the availability side of this is what organizational-level calendars are for.
For the preference side, it’s handy to share a physiological time zone (e.g. having similar availability and “best working hours” regardless of actual geography), precomitting to some minimum waiting period (e.g. “rolling an RNG with anyone who chimes in within 5 minutes” rather than “who’s free?”) to reduce the fastest-hand-raise problem, and if you end up noticing a preference, you can always weight the RNG accordingly.
I believe the availability side of this is what organizational-level calendars are for.
For the preference side, it’s handy to share a physiological time zone (e.g. having similar availability and “best working hours” regardless of actual geography), precomitting to some minimum waiting period (e.g. “rolling an RNG with anyone who chimes in within 5 minutes” rather than “who’s free?”) to reduce the fastest-hand-raise problem, and if you end up noticing a preference, you can always weight the RNG accordingly.