Don't mean to be blunt, and i've never kept sunpolyps....but they will die if not spot fed. I'd spot feed with frozen foods every other day. Like stated i've never kept them but i have looked into getting some.
I hear a good trick to feeding them is using a two liter bottle with the bottom cut off. put it over them and inject(turkey baster) the top with food. But, do what works for you.
Remember, if you don't feed them they will die. I watch them come into lfs and die in a month or less.
Your tank looks good, i'd suggest maybe some zoos. And if you deside to get some, look for single polpys and frag them and watch them grow, its cheaper than buying a big colony.