Hi Mark! Welcome to the forum!
Unfortunately, there's currently no way of saving a form template as a template part. What I would suggest you do is design a blank template part and copy that table from your form template. Create the same schema, then bind the fields from the table accordingly. That should save you time. At least you wouldn't have to create the table totally from scratch!
Let me know if you get into issues as you go through this. I'd be more than glad to help.
Cheers,