Searching Names and dimensions of smaller pop ups

I can't help with name or number, but do you understand that any pop-up, and most other RV trailer will have a cabinet built in each corner and on each side of the door. Especially on pop-up the cabinets add a lot of strength to the walls, help tie corners together.
If you would be happy with wall to wall bed in a trailer you might look at something like a Little Guy teardrop.