I go to Toddler Time at the East Asheville Library on Thursdays and Fridays at 10:00am-12:00pm. They have toys there and and it is basically just an open play time. My daughter loved it and I figured out what she really likes to play with.
I organize a local moms meetup group. It's for age birth to 5 yrs old. Right now our group consist of 86 moms. We schedule events 5 days a week for different age groups and they are usually between the times 9:30am and 11am but ocaasionally we'll schedule 4pm playdates too. We also schedule a couple of Moms Night Out events every month. You can check us out at www.sahm.meetup.com/1472