Are you a Mass resident? I have heard non-residents willing to jump through all the hoops have been able to score full carry licenses in the past. There is a note on handgunlaw that it may be more difficult now.
In general, it's easier for out-of-staters to get a non-resident carry permit for Massachusetts than it is for most Massachusetts residents to get a Class A. The "gotcha" for the non-resident is the price -- it's $150, and I believe it's only good for ONE year. (My Florida non-resident permit is good for seven years.)