A realistic answer to your question is that you may not actually be ready for THE rifle.
There are many good quality military surplus rifles with excellent iron sights, or that have improved after market sights which are very affordable.
On the other hand, since you have made the logical and sensible choice of a .22 to start with, and since you are convinced you want to stay with iron sights for now, why not progress up to a Marlin or Winchester lever action rifle and use the open sights that come installed on them? I think most of the chamberings you mention are available in lever actions.
It may be just me, but there is nothing quite so out of place on a rifle as iron sights sitting under a scope. I don't even like the look of it.
"The irony of the Information Age is that it has given new respectability to uninformed opinion." - John Lawton, speaking to the American Association of Broadcast Journalists in 1995