Different shipping rate for oversized items?

Working on 2 stores. They are quite similar and so I have been using the “WooCommerce Cart-Based Shipping” for both. It works great for almost all their needs (both shops increase shipping at certain dollar amounts).

However, both shops also have a handful of OVERSIZED items that have their own special shipping rate that doesn’t correspond with the rate table generated by the plug-in.

Is there a way that these few items can somehow be processed differently? There is only a single oversize rate for both stores.

Many thanks!