Sorry I didn't mention it sooner, but I personally think it's confusing to have a Detachment name that also represents itself as another type of unit (i.e. Division, Regiment). It's like saying "The 501st Legion Squad" or "The Northern Garrison Outpost"...not trying to sway votes here, but just something to think about.
We already have some 501st units with names like this which are misleading: Southern Outpost (actually a Garrison), Outpost 42 (actually a Garrison), Jolly Roger Squadron (actually a Detachment), Brazilian Division (actually a Garrison?)...I could go on...