Though not much, there are a few wineries around Coonabarabran.
The biggest city near to it is Tamworth, about 160km east. Really not too much great spots for visiting. If you like watching/imaging widelifes, go into the Warrumbungle National Park. If you want to see more outback Australia, head west further to Cobar(~450 km) and Broken Hill (~700 km).
Except Narrabri, there is one big telescopic dish in Parkes.
Though the towns around Coonabarabran are small, they show different culture and life styles. Not bad to take looking. If just focussing on AP in Coonabarabran, it is better to sleep more in the daytime rather than going several hundred km out for shopping.