Once in awhile you may come accross a Remington 660 in 350 Rem. these guns are heavier barreled than the model 7 that replaced it. With a 20 inch barrel they are short and sweet for the bush. I used one for twenty years in 308 until I let it go to a friend who just had to have it . It always shot under an inch @ 100 yards .Some rifles you regret you sold later .
The 35 Whelan does what the 350 Remington does and brass and ammo is indeed a lot cheaper .It would be my pick, since I prefer to shoot more than a few box's of ammo a year from my rifles .
Another thought, since you like your levers too ! Check into a Marlin 338 ME . The 22" bareled gun is not as much as the 24 inch version , and your into the powder of the 'o6. Check out the Marlin owners forum
Hang onto that BLR in the meantime !!