Tikka actions are all long actions, but have different length bolt stops, depending on what mag length you run.
You should be able to run your CTR in a long action MDT chassis, with a long action bolt stop (can be bought from CoreTac and others) and MDT's 3.56" Tikka mags. That would let you load over 3" COAL if you needed. May need mag lip tweaking to feed reliably (maybe not), but it shouldn't be too hard to get it working well as long as the PRC fits the 300wm size mags. Best to contact MDT as they would tell you what has worked and what hasn't with the WSMs and PRCs.