As you can see above, there are many choices.
However, you say in your first post that you want a heavy barrel, partly because of heat build up.
Well, if you can shoot fast enough with a .22 for heat to be an issue, I want to watch you do it.
More important is barrel quality.
I got a very good deal. paid 600.00 for a rifle that was ordered directly from Clark Custom for 785.00 shipped and traded in without shooting because of the .920, 20" barrel.
This is a Clark Custom 77/22 which is a RUGER 77/22 tricked out by Clark.
The barrel is a walther barrel, and it simply shoots fantastic.
Were I to order one, I'd go with the much lighter barrel, as it is a heavy rifle.
The CZ shoots way better then should be expected from a rifle of that price level.
Go to Rimfire Central Forum, and you can spend days going over all the reports of the many .22s available.
CRusty Deary Ol'Coot