Transform small Arduino protoboard project in a final solution
If I understand you are looking for some sort of "universal enclosure" ?

In most cases, for this sort of design people would use an aluminium or plastic enclosure with a plain front panel to which you will drill the hole and file them to fit your needs or have it CNC / Laser cut.



Alternatively, you can use plastic enclosure that has open top / bottom to which you can put your connector and this doesn't need extra work, but also does not protect as well as the aluminium custom made one: