Temporarily Turn Off Table Type Reference Checking On A Development Database
No, there is no way to alter a table type, or drop it while any object references it directly. It would be nice to have a &quot;just trust me, I know what I'm doing&quot; mode, but we don't; you'll have to file a feature request to get that functionality.
In the meantime, what I would suggest is to just create a new table type, and then update the stored procedures in the order that they need to use the new type's definition. This prevents breaking the old procedures until you can modify them, too. A little more info here:

How to Alter User Defined Table Type in SQL Server