What a great opportunity that you have to stay at home and foster a love for learning in your daughter! I lead a Montessori-inspired class and based on our schedule I would like to suggest the following schedule to try in your home:
7:30-8:00 Wake up, clean room, care of self. (Invite your toddler to work on these activities independently and let him/her learn for themselves. Help when needed, but encourage that they do it first.)
8:00-8:30 Prepare breakfast, eat, clean. (Same applies here. My kids love
to cook, and enjoy cleaning their tables and chairs with soapy dishtowels.)
8:30-9:15 Independent work with Montessori lesson.
9:15-9:30 Clean up.
9:30-10:00 Outdoor play (if possible), or free play with regular toys.
10:00-11:00ish By this time my two's and three's are a bit tired and wanting to wind down for lunch and snack. We generally have a story time with restroom break, Spanish, and a video to transition them into the afternoon. Now would be a good time to take the trip to the grocery store, or an outing to the library for story time, or your local park or children's museum.
11:00-11:30 Lunch and clean up.
11:30-12:00 Art and crafts, yoga, wind down for nap.
12:00-2:30 Transition to nap time and actual sleep time.
By the time your child wakes up, you'll be well into your afternoon and your child free to explore and play as (s)he wishes. I empathize with you that a schedule is needed an it is sometimes hard to maintain in the home, but if you are firm about nap times and adjust the schedule to best fit your family's lifestyle, you will all benefit from it.
I have parents that have told me that there children do not nap at home, but at our school they sleep, partially because we've made sure that our nap room is a calm and quiet place to rest--and as adults we insist that they are quiet and sleep. Children at this age can go about their day without a nap, but they are much more pleasant when they have a good two hours of rest and sleep time.
I hope this helps. If you get a chance, check out my blog, where you'll find easy activities and more in-depth Montessori resources.http://www.myhouseboutique.typepad.com