USL Pro posted the full schedule for the yet to be named Red Bulls reserve team. The team's first game, against Rochester, is Saturday, March 28th at 2:00 p.m.
The Red Bulls are only playing Eastern Conference teams and the furthest west they will travel is Saint Louis.
The team's home field is listed as Red Bull Arena until the end of June. Their home field for July, August, and September is listed as TBA, but could be the completed training center or even at Columbia University in Manhattan.
h/t Dan Dickinson