Miller,
You inspired me to get one of the .22s out for a walk. However, when I pulled the Remington 581 out of its case, I discovered its scope had been removed, for reasons I cant remember. It has been a while, sadly. A few gun shows ago, on a lark, I bought a Weaver 1 4X Marksman, in excellent condition, for $10.
Bolted it down today, and will sight it in tomorrow. The 581 had its barrel shortened an inch, and a target crown cut into it, and needs a scope to be used.
If the opportunity ever presents itself to you, I can recommend the Remington 580 guns as accurate little shooters, without reservation.
They will handle any .22 , short, long, or long rifle.

Best,
Ted