Are there non surgical options that would minimize my nostril / philtrum visibility and increase upper lip show? (photos)

Various HA fillers can be helpful for these issues. A medium viscosity HA filler can be used to add volume to the upper lip to bring it into both better proportion and projection with the the lower lip.
A low viscosity, malleable, cohesive HA filler can be used to better define the vermilion border of the upper lip and which would also help to shorten the appearance of the lower portion of the philtrum.
Finally, a low viscosity HA filler can be used in the "wings" of the nostrils to help to better mask the lower portion of the exposed columella.
These are all advanced injection techniques that are better left to the hands of an experienced, board certified cosmetic dermatologist filler injector expert and not to novice injectors accustomed to treating ordinary smile lines with simple Restylane or plain Juvederm. Hope this helps and best of luck.

Non-surgical options will not be as dramatic. You are definitely a candidate for surgery. You would benefit from a chin implant as well as a lip lift and probably a rhinoplasty. A lip lift does 4 things: shortens the distance between your nose and upper lip, increases the mucosa of the upper lip, increases the incisor show and pulls up the corners. A chin implant will balance your profile. If you are concerned about your prominent nostrils then this can be resolved at the time of rhinoplasty.

Best Wishes,

Gary Horndeski, M.D.