I read or heard somewhere that had Rand not been removed from the show, many of the female crewwomen that Kirk beamed down with every now and then would have been Rand.
Agreed. She would've appeared at least ten more times, usually as part of a landing party, while staying on the ship for the bottle shows. I expect she would've not been killed off by the Kelvans either in Season Two.
(Though I did notice after that episode no yeoman ever beamed down again and few if any were utilized for Season Three...)