I would definitely recommend that a new healer begins with CNJ; however, by this time Brielle is already AST54. Starting over as CNJ won't teach her much that she couldn't learn by doing DR:Leveling and DR:Guildhests as a syncked AST; and as an AST in syncked gear, she'll have a much better time than a WHM in not-necessarily-the-highest-for-the-current-dungeon gear.
It would be worth revisiting CNJ to get to 34 for Stoneskin, but if we're talking about purely for the learning experience, at this point sticking with AST would be fine.