why not try a DIY manual one that is all cool looking?
An old time manual box number scoreboard and clock run by supporters sounds like something the fans could have fun with.
You have 10 weeks to have it ready... Get started.
Keep the budget inline with the fact that the scoreboard can't really score any goals for the team.
Maybe you could use the making of it to generate publicity for the new team. This is the type of story the papers love, a group of people doing something because they are supporters of a new team. Seize the moment, and also promote the team.