Hey Tyler,
You cannot export a TP3 or any of the other Topcon filetypes (LN3, GC3, etc) from TBC. As you mentioned, you will need to export individual linework, control point file, surface, and alignment files and build a tp3 in 3DOffice. Lots of good info in the below posting.
Exporting from TBC to Topcon GPS - User Q & A (Post Here) - MyRockpile Community