Why not combine your visit to Rye Heritage Centre to one of the other wonderful attractions in Rye?
Here are a few ideas and links to get you started:
Rye Castle Museum: https://www.ryemuseum.co.uk/
Lamb House ( National Trust): https://www.nationaltrust.org.uk/lamb-house
Rye Art Gallery: http://www.ryeartgallery.co.uk/
The Parish Church of St Marys (Tower) : http://www.ryeparishchurch.org.uk/6613c646.htm
Rye Harbour Nature Reserve ( Sussex Wildlife Trust) : https://sussexwildlifetrust.org.uk/visit/rye-harbour