@zeke4110 Hey, personal trainer and coach here.
Give yourself some credit for being a kick ass parent and being there for your daughter, taking care of your responsibilities, etc. That shows your commitment to your family.
Ok, onto the juicy stuff:
First, environment. Take a look at what things you can possible automate or gain back time by paying someone or a service to get it done. Laundry service, dishwasher, use paper dishes and plastic cutlery instead of regular plates to save time on dishes, etc. See if there is even one thing you can take off your plate to gain back some time.
If you only have 30 minutes, do what you can at home, that is plenty of time to give your body a good stimulus. if you can get some weights to have at home and train with those that could be an idea to explore (think kettlebells, resistance bands, dumbbells.etc). Plenty you can do with that.
If you are working out everyday, try dialing down to 3-4 times per week instead of 6 days because with the amount of sleep you are getting that is going to lead to a lot of fatigue over time. This is counter productive to your health in all aspects.
Lastly, Sleep/Recovery is as important as the training.
If you need help or need any more ideas, reach out. I am on a mission to help as many people as possible. Best of luck and happy training!