Not sure I'd wanna carry a CTR for moose as the heavier profile barrel adds a good bit of weight to the gun. If it's a hunting rifle you seek, I'd seriously consider the Battue model in either 308 or 30-06.
In my opinion, I wouldn't consider a CTR for a hunting rifle unless I was predominantly still hunting from a blind and not doing a lot of walking with it. I'd consider it a "bean-field rifle", as our southern cousins call heavy barreled hunting rifles.
By all means, it can be done. And if you want to carry the extra weight, more power to you. But it can also be done with a rifle that is pounds lighter, with the same level of accuracy one would need in a hunting rifle.
If you choose to stick with this path, I'd stick to the 20" barreled version. If you can find one with a set trigger, even better. But Tikka triggers are phenomenal from the outset. Only to be made better by aftermarket trigger springs, which can be had for relatively little money. Yodave, Mountain Tactical, MCarbo etc. YoDave is a Canadian supplier and a member of this board, so that's likely where I'd go first. Install is super easy, and anyone can do it. Takes about 10 minutes and can take the pull down significantly.
Source: I've owned about a dozen T3 and T3x rifles over the past 10 years. In calibers from .223 to 7mm RM and damn near everything in between. In models from the lite, lite stainless, CTR, and the varmint. I haven't had everything they offer, and I'm by no means an expert. But I've had enough to know most of their handling characteristics and what model I would, and wouldn't choose, for a particular application. They all shoot well with most factory ammo. Best with Sako or FGGM.
I'll buy another CTR within a year or so. The one I had was in 308, but I'd likely go 6.5CM this time. 20" barrel for sure. It'll be a dedicated "range" rifle. But I'll take it out to long-range on crown land and develop a decent kit around it. CTR stands for Compact Tactical Rifle. And it's developed with that mindset at its core. There's no sense in trying to shoehorn in it being something that it's not. Because it's a very, very good rifle, in that role.