I'm going to be honest, I wanted something similar to what you want a while back. I decided I wanted a .22 to shoot at 100 yards with. I did lots of reading and talking to friends that had various .22's. I ended up buying a Savage Mark II BTV. It's the one with the heavy bull barrel, the accu trigger, and the thumbhole stock. The trigger had had a few modifications and was even lighter. I absolutely loved the trigger.
Anyone I noticed upon shooting it that with the bulk ammo I'd always shot in .22's, that it didn't shoot any better than anything else I'd shot at 100 yards. I really was disappointed. I then tried at 50 yards and it still didn't shoot that great with bulk ammo. Maybe slightly better than the stock 10/22's I've shot, but it really wasn't much difference. I tried several different brands of ammo and all of the cheap stuff seemed to shoot about the same. It slightly preferred CCI SV ammo of the cheap stuff. It shot them into an inch or so group at 50 yards, but once at 100 yards it just was back to 3" groups or so.
Then I tried Wolf Match ammo and it shot one hole groups like pictured above at 50 yards. I was impressed and thought I'd found the ammo to stick with. It also shot a group similar to that at 65 yards. However, one I moved out to 100 yards, the groups opened back up. They were always in the 1.5-2" range at least. That was decent to me for a .22, but I still wasn't really impressed. With the cheaper ammo though it wasn't anymore accurate than any of the other .22's I have with cheap ammo. So then I tried the match ammo in a friends stock 10/22 that the only modification was a trigger job and it shot very similar. The Mark II might have shot a tad better groups, but not much.
The other issue I noticed with the Mark II is when shooting Wolf Match the lube seemed to gum up the chamber really badly and after shooting 15-20 shots, the fired shells would start sticking in the chamber some. You had to keep the chamber clean of that lube. That I'm sure would happen with any rifle though. The rifle never jammed with any ammo that didn't have a ton of lube on it.
I realized after my experience that it's more in the ammo than the gun.
That being said, I hung onto the Mark II for a while and would shoot it every so often, but every time I took it out I felt let down. I ended up selling it as I found I just didn't use it.
That's not to say that the Mark II isn't a bad rifle at all, it just didn't perform anywhere near as well as I expected after all I'd read about it. I think my expectations were just too high. I much preferred the feel an lightweight of my buddies 10/22 and I also prefer a semi auto, and I felt like I was giving up all of that for the Mark II, and I really didn't gain much if anymore accuracy.
Now if someone was looking for that style rifle in a bolt action, I'd highly recommend it as it was a good rifle, it just wasn't really any more accurate than many of the other rifles out there that aren't bull barrels.
I'd personally just try different ammo in your current guns unless you really want a new rifle.
