Block a caller by name

When I filed the paperwork in my state, to transfer my late wife's property into my name alone, I got put on some kind or telemarking list for a company that is trying to get me to hire them to fix up our house to sell it.  I have been receiving a call from them every week for almost a year.  I have tried to get them to stop, by “pressing 1 to speak to a person”, but I just get sent to voicemail.  I signed up for Scam Shield, and block their numbers every time, to no avail (yes, I report every call to Scam Shield). I've reported them to the FCC, they are no help.

I think it's a computer sitting on some desk in the backroom, using some kind of automatic dialing system and phone number spoofing software, that.  Think, debt recovery behavior only to sell stuff to a dead person.  The only thing that is consistent is, they use their real company name in the Caller ID. 

Anyway, is there a way to block a call, or forward a call by name instead of number.  It wouldn't be so bad, if they hadn't started doing this because my wife died.  My next step it to change numbers, but I’ve had this number since 1999, I’d like to keep it.