a regular tikka fits in the compact stock just fine.

You would be better off ordering a laminated stock from a supplier like Boyds and getting a custom LOP.

Check eBay for a stock you like.
Some come up fore sale
Boyd’s stocks might work but you will want to bed them with epoxy and pillars. Stokeys stocks are similar, bell and Carlson are available with aluminum pillars without fitting.  I have not used any of these .  I have used GRS berserker stocks with good results.