Is it possible for you to get a nanny/mother's helper for a few hours each week if not each day? That way you can focus on your business or whatever else you have and your dd can still do the things you list such as going to the park. Also, one thing that works for me is to let my dd lead some activities but make her follow activities that are led by me. So for example I will say to her," okay, I will read these three books but after that you are going to help me make dinner or clean up or fold laundry because mommy need help and you are the best helper i have." she gets really excited that she has responsibilities. Maybe you could also look into a daycare/preschool for a couple a half days a week so she not only gets to do some fun stuff but also learn how to self entertain.
