No need for an adapter, as the Tuttle box is originally a fin box. Just find tuttle fins, there should be many second hand windsurfing ones.
easy-surfshop.com/do/pages/buyingguide-finsNote that there are 2 standards, tuttle and deep tuttle, and deep tuttle fins are generally huge, but there are exceptions such as:
surfer-world.com/en/bic-beach-30cm-finne-deep-tuttle-boxI think most foil boxes are deep tuttle. For instance the Go foils are deep tuttle... but not all, check.
But you can put a tuttle fin in a deep tuttle box:
www.seabreeze.com.au/forums/Windsurfing/General/Fitting-a-tuttle-fin-into-a-deep-tuttle-box?page=1Also, you can find cheap plugs that are used to close a deep tuttle box when not in use. i guess you could route a slot in it and glue an US Box fin in it.