So, I just had to shoot today.  This is the gun I have for my son and it is ready to hunt.  
Remington 870 Compact, 22" barrel, 65 degrees.  All shots with 1 7/16 oz of TSS #9.  The inner circle is an 8" circle from a target at the range, it was all I could find to get a decent idea of the 10" numbers, to see if I wanted to try the Rem SF.
First three were with a Hastings .562
Shot #1 221
Shot #2 207
Shot #3 209



Tighter than I want.  At 20-30 yds this is really going to tighten up. 
Trial of the Rem SF .570 is really the ticket
Shot #1 at 40 yds

His max shot will be 30 yds, so this is at 30 yds

What do yo think?  I am very pleased with the 30 yd shot.  I have him aim at the waddles, so this is exactly what I want the pattern to be, just a tick high.