about 200 transactions, each transaction has no tx and is signed by the last transaction, will Alice have to wait for a long period to receive the funds? Can Alice speed it up?
Ahh - not sure why I couldn't work that out myself!
Anyway, the answers are that it will indeed take a long time to receive the funds (you're extremely unlikely to get more than one transaction into each block at a time), and currently the way the transactions are selected into a block in the reference client means there is no way to speed it up if miners are running unmodified clients.
This thread is relevant. Someone is doing the exact thing you describe.