If you can afford a fine quality scope for $300, I'd recommend Nikon Monarch. It's 1 piece tube. Excellent optics. Lifetime warranty.

If $200, I think you can buy a Nikon Buckmaster. Similar to the Monarch, but a 2 piece tube on the barrel of the scope. I think with Tikka's solid rings and groove machined into the top of the receiver the scope barrel on a Tikka is less likely to flex than with some other mounting systems. So, I think really either scope would serve you well.