Sometimes we have to make hard choices, but it sounds like you've figured out what's best for you and your family.
Last February I was doing the same thing. I would travel up to NJ for a week at a time to visit my mom and handle things while she was in rehab, then head back home for a week-10 days. Rinse and repeat. Luckily one of my sisters could do the same. It's a hard juggling act, but a precious gift of your time and love. You've got this.