Left field choice but you could watch it in the Aston Social and then grab an uber to town after the match?
Would there not be a heap of places on or around Broad Street showing the game?
Boom Battle Bar, Five Ways? https://www.fanzo.com/en/bars-showing/629074/luton-vs-aston-villa?location=52.48624299999999%2C-1.890401&locationOverride=Birmingham
Troc, Windsor, Royal. All pubs full of Villa on home matchdays. All will show.