In your 0-200 yard range, and needing it to fit your rifle, any one of the scopes (mentioned above already) will work very well for you:
Leupold VX-II (or2) in 1-4X20 or 2-7X33
Leupold VX-III(or 3) in 1.5-5X20, 1.75-6X32, or perhaps the 2.5-8X36
These are light, rugged scopes with great glass and great fields of view.
I have all three of the latter on several lever actions and heavier brush bolt action rifles. They have worked well for over 20 years for me, in the heavy brush and open fields for shots out to 250 yards or so, on black bear, grizzly, deer, caribou, moose, elk and bison.
If you can locate a set for your Tikka, the Leupold QR or QRW rings will let you take your scope off and use your open sights if and when needed, and maintain their zero when remounting the scope (the QRW; use a Fat Wrench to ensure you retorq to the same specs to maintain the zero).