This isn't dirt and water type mud. It is engineered material. While I don't think money is a huge concern for the cleanup, logistics play a huge factor.
There is also the problem of just what the mud is doing when it is being shot down at this unstable "well head". The whole time you are doing it, it could be changing things for the worse. (Yes it could be worse)
I think the best thing to keep doing while waiting on the relief wells and other forms of relieving the source is to focus on cleanup. The supertanker idea they used in the unreported arab big gulf spill seems to be viable. As in, the pieces are already present and only need to be moved. You have a means to load/unload the tankers in the gulf as well.