I think you have a good reason for not getting a letter. I know my school requires you to take your last X credits there so there are times people are not eligible.
In that case you would collect letter individually and probably store them using interfolio. Some secondaries will ask "Why dont you have a committee letter", you would use what you wrote as an explanation.
Typically people get 3-4 letters, two being science and one non science. You can think about adding one additional letter from a volunteer organization or maybe a doctor you shadowed for DO. If you are submitting individual letters you need to look at each schools requirement then (some schools need letters from your major or from a doctor or PI if you did research).
Committee letter will supersede any LOR requirements specific to the school which makes them pretty nice despite what SDN thinks about them.