You'll be shooting at a 21 MOA target (2.55" head diameter at 12 yards) so pin point accuracy isn't the top requirement. (Pin point, get it?
)
Any .22 semi-auto that's in good working order will work. If the rules call for open sights then a longer barrel would obviously be better for the longer sight radius but a consistent trigger squeeze will be more advantageous in competition than a gnat's hair more accuracy, so a decent trigger is probably the main criterion that you'd want to look at in the equipment.
That's where a 10/22 might stand out from others since the trigger pull can be improved in a variety of ways, from cheap up to the sky's the limit.
If'n it were me I'd use the excuse to get a 10/22 LVT, 'cause, ya know,
any excuse for a new rifle is a good excuse...
