Contacts, expanded to Street and/or Political Contacts in later versions of Bloody 20s were a very important part of play in the Bloody 20s.
Contacts were the highest rewards for the players. They were exchangeable, sometimes reusable "get out of jail free" cards, or just about anything a creative player could devise. The only limits were that the Judge was the final authority on how far a player could go in using their Contact. If Luck checks were a form of "saving throw", using a contact was dependent on how well the player justified their desired effort to the Judge and/or their fellow players. Contacts were also transferable between players. Wasn't it Vito Corleone's refusal to provide the use of his political contacts that resulted in his being shot in "The Godfather" ? Or, they could be used to attempt to block another player's use of a contact. There's a guaranteed way to start a series of ingame vendettas.
Why not try and incorporate Street & Political contacts into your GangBusters game ?