If you plan on shooting it until she is ready, I would recommend tracking your round count. .243 is a barrel burner. If using a custom barrel, there is the option to set it back when the throat is eroded by the gasses torching it. For this reason, I would suggest looking into 6.5 Creedmoor or .260 which will give you similar ballistics with a longer barrel life. In addition to barrel life, the 6.5 and .260 can be loaded with heavier bullets for hunting use (heavier bullets usually carry a higher BC as well)
As far as build ideas on either, I would suggest at least a 22" barrel to achieve the velocities that set these calibers apart from the .308. Get an adjustable stock or chassis that you can fit to her when her time comes to get behind the rifle. For your contour, a Brux #5 or Remington Varmint is a good medium for hunting and target use.
As far as actions/triggers and such, that should be personal preference, though I would suggest an adjustable trigger so that she can choose a desirable pull weight.
Good luck! Glad to see another female shooter heading for the range and I hope she enjoys it!