I`d suggest getting some sort of vitual address in MA and using it to file on-line for your LLC.
You might be tempted get a mailbox at some place like Mailboxes Etc. so you have what looks like a regular street address. I learned the hard way that the problem with those is that the US Postal Service won`t forward mail to you after you no longer need the temporary address. They can`t because they don`t sort the mail into box numbers for those private post offices.
If MA doesn`t require a street address, you might get by with renting a regular post office box, but then you`d need someone to pick up the mail, right?
Maybe the best solution would be to hire a virtual assistant who is physically located in MA and would let you use their address or pick up your mail for you at the PO.