You are in a unique position in that smn and sch share exp ( I honestly wished all jobs did this). I would make sch up to date with gear and skills and do the final push as a healer. Some other tips to make the process quicker;

There's a FC action that gives you extra EXP from monsters. It's like 10-20% but I can't remember exactly
Food gives you a tiny boost
Daily raid roulette gives like 1/3rd of a level and Healer seems to be AiN more often than tank so it's a short wait.