Ive done many jobs in wildly different fields. Email me if you want a list.

Im now multiply retired so I dont do anything. I have managed such projects in the past and might at one time have been tempted, but health issues make it impossible now to take on new commitments. In fact Im trying to pull out of the ones I still have.
As to the second paragraph...
Managing donated things has a headache factor to it. Managing donated moneys against donated resources against donated time and skills in a way to stay clear of any suspicion of misuse is something only a few people can do well. Ask any charity admin how 'easy' their job must be to get an earful of that.

Its easier to use one donated factor to fuel the others as non-donated factors. Not sure if that was clear or not.
You can purchase engines which can vastly cut down the programming time. Some are specific for games. Im out of touch with that area so I cant recommend one. But I remember that the problem falls into the choice of language. Would you prefer to select the language and then search for libraries and programmers? or the other way around? AND what about operating system? Will you maintain the "Linux game ported to Windows and Mac" or go with the easier Windows environment then headache trying to avoid win specific things that might not port well to the others?
SourceForge is a good place to look. What is being used, what they might have developed for themselves. Asking there should be no problem. After all, they are all supposed to be open source so even asking is just a courtesy. (Id never recommend not asking, Im just saying that refusal is unlikely compared to other directions)