On June 3 the Most Rev. Michael Sheehan, Archbishop Emeritus of Santa Fe where he served from 1993-2015, passed away. He was 84.
His armorial bearings had a rather unusual charge. “Issuing from the bottom of the Archbishop’s arms is the silver (white) dome of St. Peter’s Basilica, in Rome, which is placed below a gold (yellow) Roman Numeral two (II) to signify that Archbishop Sheehan was in St. Peter’s on the day that Vatican Council II opened.”
Uh-huh.
All I can say, while meaning no personal disrespect to the deceased archbishop, is: nice try.
EXARANDORUM 
In my native German, there is a proverb: Gut gemeint ist das Gegenteil von gut. This means literally: well-meant is the opposite of good (or of well-done). The comment “nice try” would be a polite version of the same.
There are instances of buildings as charges of coats of arms, so it can be done – but as usual, there is a very fine line between “good heraldry” and “nice try”.
H.