Ganton is between York and Scarborough. Two courses near York are worth a visit: York at Strensall, very flat but with lots of interesting holes; Fulford in the south east of the city of York near the University. It's CA MacKenzie and doesn't get a good press on GCA and is not long enough any longer to host the big-name professional events it once did, but for an average player it is a good test. Both are maintained to a high standard.
In Scarborough South Cliff is a Dr MacKenzie course of interest and I also have a weakness for North Cliff, a Braid layout. Despite its name North Cliff is predominantly parkland.
For quirk and charm you could take the pleasant roads over the wolds to Beverley where there is a really fun, very basic course on common land Beverley and East Riding. You may find yourself chipping over a herd of bullocks from time to time! Leave yourself time to explore the old market town with its two beautiful churches.
There is inexpensive links golf up at Redcar, Cleveland, which, like Beverley, was founded in 1887. True it is surrounded by industry and a caravan site, but the course itself is of fair quality.
I'm sure Andy Levett would meet you for a game at Seaton Carew - a very good links course.