@rachelHaw Why would you retake the LSAT if your scored a 173? Your score is high enough to get into every school from #4-#200, with a shot at HYS. You will also receive a substantial amount of money from a T14.
You should be fine for HYS. Typically people recommend applying early for primarily scholarships as there is a larger pool of $$$ in the fall. But in the case of HYS, they only do financial aid so you applying in January will be fine. Good luck!