I went to school at the College of Notre Dame of Maryland, where the sisters are in the School Sisters of Notre Dame, a teaching order with many schools around the country and probably around the world, since their origins are in France.
Back in the late 80's / early 90's, I had a teacher who left campus every day to go to her mother's apartment in town to help her bathe, dress, fix meals, administer medications, etc. until her mother died. I don't know if her mother ever needed round-the-clock care or if she had any brothers or sisters to share in her mother's care, but she was certainly very active in her mother's care even without living with her. My teacher, the religious sister, lived in community on campus as far as I could tell.
If I may add, since you say you are discerning your vocation, maybe you should trust in God that He will work things out for you and your parents both? Easier said than done, I know. Isn't there a Gospel story about a young man wanting to follow Jesus, but saying, "Let me bury my parents first," and Jesus said, "Let the dead bury the dead. Come and follow Me." By all means, discuss this concern with your vocation directors, and ask what arrangements their order makes for this situation. Maybe their answers would lean you more to one order over another?