How heavy is your Tikka? The only one I’ve held was the one my LGS had - a lite. From the tikka website, that’s 2.9 kg.
The Bergara website says it’s 3.3kg, and it definitely felt heavier holding it upright at the buttstock. The balance was nice though, center of mass felt like it was right under the mag.
You could get it as a varmint 24 in barrel, 1:10 twist.
I got it with a 22 in with 1:12 sporter barrel though. I didn’t want a varmint barrel as I don’t think I’m going to be doing load experimentation, or shooting so much the barrel won’t cool.