Hey there !
How many of those boxes do you need ? Depending on that i don’t think that it’s worth it to get a 3d printer unless you use it for futur projects.
I use a leapfrog Creatr HS and am happy with it.
How exactly does your box have to look like ? are there openings with specific tolerances or any other difficulties ?
In general i would look for a bouden tube dual extrusion 3d printer so that it’s possible to print support structure.
As recommendation i heard and saw very good things from :
Ultimaker 2
Lulzbot Taz (or Mini but i don’t know the build volume)
Leapfrog (Creatr HS, not the normal one !)
All of them are very much below 5k. If you want to reach the limit of your capital then i’d say go for an SLA printer, they are the very best when it’s about precision. However SLA based printers are very slow and there is mostly only one material to print in a few colors available. The resin is also very expensive.
Mostly the precision depends on the geometry and the settings, you might have to make holes some tenth of a millimeter larger so that the outcome is your wished size.
For the industrial use of a printer you also might want to give the Stacker a look.
It’s just like a normal 3d printer but with up to 4 nozzles attached to one axis so that you can print 4 parts with same geometry but alternating materials or colors at the same time.
It is on kickstarter at the moment and there are various versions
STACKER - A New Kind of Commercial 3D Printer by STACKER, LLC — Kickstarter of it, however it might cost you the full 5k.
For further help i would need more information on what tolerances the printer should have in which spots of your box. Maybe you can upload some pictures of a CAD construction from the box.
-Marius