This is another area with many choices. On one end of the spectrum you could go with
Acrylic Latex (house) paint inside and out for around $50. I
have not personally used it for a trailer box, but if you search
the internet, you’ll find a number of small boat building sites
promoting its use. If you think about it, your house is exposed
to the elements day in and day out, the last time I painted mine
was 10+ years ago and it still looks good. For a durable
colored exterior finish, I like a roll-on bed-liner material
called Durabak. It runs about $150. For a clear interior and
exterior finish, I use Target Coatings EM2000 varnish, it runs
$79 a gallon. For an added measure of moisture protection I
also like to seal the exterior with Smith Companies CPES, it runs
about $60.
Miscellaneous
There are a number of items like hardware, hinges, door latches, tongue
and stabilizer jacks, glue, sandpaper, door seals, etc. that
run about $170 regardless of your build method. Basic hinges are +/- $5.00, you need five of them.
The nicer stainless steel ones I like to use are $15.00 ea. There
are a number of door latch options, basic barrel slide latches are $3.00 each,
you need five of them. The locking, twist cam style latches I normally use
are $18.00 each. Also, if you use all stainless steel hardware expect to
spend an extra $50.