I would sell anything if I had to.
Having said that, my DH designed my ring and it has a very unusual marquis diamond as the center stone. It is set in platinum with my wedding band actually being two platinum bands arched to fit the stone. It's not a big stone, but it is very unique. He did platinum because it's stronger than gold and he plays percussion, so for our rings to match we both got platinum. When we got married, platinum wasn't "the thing" to do, so he had to send off a sketch to a designer across the country who made a mold and sent it back for approval. It was a long process and very detailed, even though our rings aren't SUPER expensive. So for those reasons, I would probably break up furniture and sell it as firewood before I sold my ring. But I would if I had to.