Peasgood Nonsuch is an apple that wins beauty contests. It is so handsome and at the same time it is a wonderful dual purpose apple. It is juicy and fresh as an eating apple, and makes a sweet purée when cooked. It needs good pollinators in order to set a regular crop. I would use Egremont Russet as an early flowering variety backed up with Fiesta/Red Pippin as a later flowering same group variety.
Peasgood Nonsuch is usually ready to pick by the middle of September. It will have a storage life to about the end of September.
View the Apple Pollination Chart to find suitable pollinators.