Lately, I am not too impressed with any Remington rifle product that I have purchased or looked over.

I would go with a Browning bolt rifle (older manufacture date), Brno, or a CZ (which you have already excluded) for out of the box accuracy and function. My experience with CZ rimfire rifles is solid performers accurate, well made, and function everytime. I have a Zastava with a Remington stamp from a few years ago, has the ugliest stock, but shoots tiny single hole groups with Federal red/black box ammo all day long for an out the door cost of $130. Really like my Kimber Hunter, but it only shoots match grade ammo in tight groups everything else is a 3" pattern.