Re: Same symptoms!!
Just went through the same problem with my 500SL driving it back from Houston. Rough acceleration because of missing if you trounced on it, but gentle acceleration and you could ease up to a higher speed. Still with a slight miss though.
My mechanic replaced the fuel pump and also replaced the fuel accumulator--as a matter of principle. The fuel accumulator might not have been absolutely necessary, but I understand it can cause a fire.