SeaBees are civil/construction folks, usually obtained via direct commission and not gaining their commission via USNA. Go back to
www.usna.edu and focus on the service selection and warfare community options. Naval architecture majors do all the same things other majors out of USNA do, which likely would not be as a civil engineer. Definitely apples and oranges here.
There is such a thing as a naval Engineering Duty Officer (EDO), and some mids go that route. That's focused on shipboard engineering, maintenance, repair and new ships/subs/planes.
See below. Lots to learn about Navy officer communities, and asking questions is a good way to go.
About Navy's Civil Engineering Corps (CEC), who will typically work with SeaBee (Construction Battalions) and installations:
http://www.navy.com/careers/engineering-applied-science/civil-engineering.html
The Navy gets its EDOs from a warfare community such as Surface Warfare, who take an option to transfer to the EDO community after they have completed initial sea tours and warfare qualification, to focus on warfare platform engineering (ship, sub, airplane) maintenance, acquisition (buying new stuff) and R&D.
This is all very simply put, but bottom line, naval architects do not go to SeaBees as CEC officers. Shipyards are the home of EDOs and civilian marine engineers anyway!