We should only use popular clients like Electrum, core or Armory. 

I wouldn't use multi-sig for this at all. Instead I would use SIGHASH_ALL | SIGHASH_ANYONECANPAY.

Essentially, Alice creates a transaction which contains her 0.1 mBTC input and a 0.2 mBTC output to the society. She signs it with SIGHASH_ALL | SIGHASH_ANYONECANPAY. This signs her input and the output (meaning they cannot be changed), but allows the addition of further inputs (but not further outputs). She then passes this transaction to Bob. Bob cannot broadcast it as it stands, because the outputs are higher than the inputs and so it is invalid. However, Bob can then add his own 0.1 mBTC input to the transaction, which would make it valid, and can then be broadcast.

Alternatively, Alice could sign with SIGHASH_SINGLE | SIGHASH_ANYONECANPAY, allowing Bob to add his own input as well as additional outputs, in case he doesn't have a 0.1 mBTC ready to go and needs to add a change address.