Is there a way to force a page break in a Google Docs table?

I've got a table that is going to extend across multiple pages and I'd like to choose where the break happens (I want to keep a row together). Is this possible?

The Insert > Page Break menu item is grayed out when I am in the table. Another option would be to break the table into sections, but I'm not seeing a nice way to do that either (nothing akin to the Table > Split Table menu item in Microsoft Word).