Fairly obvious that solitary and communal will probably be unavailable since hive minds don't use happiness but I am curious what other traits. I would also guess repulsive and charismatic will be prohibited.
You should not understimate the effect on growth. +60% growth time for every pop is a serious penalty.Adatpable/Non-Adaptable will be a strange one, since probably the only thing Hive Mind will care for is having 40%+ to colonize there. It'd be far more powerful trait choice than for a regular start. It might be OP/crippling - Hive Mind species with Very Adaptable will be the best Hive Mind species by far, and Non-Adaptable would be the worst.