Dog Friendly Day Trips

We are staying at Whangamata and have our active Labrador dog with us. We know the beach times for dogs at Whangamata so our dog will get plenty of walks early morning and evening. We've also been to We are wanting to do some day trips (not necessarily to beaches), and hate leaving her in the car (heat and boredom). Can anyone suggest places they have been that are dog-friendly and suitable?

We've checked the council website, so are aware of dog restrictions on all Coromandel beaches.