Quick and dirty ? You need a 1.128 OD blank and a Carcano action for the 35 Remington . Carcano clips are expensive for what they are .
A little more DIY . Start with a Savage 10/110 short action . Get a barrel turned . Pacific Tool and Gauge (PTG) makes severl Savage bolt heads . The 7.62×39 compatible piece is the one you want . They can of course be turned at home from a 223 bolt head and I don't have the Axis in hand but I think it has full bolt travel so you'd just change get a 308 mag for it .
A rebarrel of about any 98 pattern action or Savage 10/110 or any other Short action compatible with the Savage , 308 or x57 families for the 358 in a 14" twist is the easiest . There's lots of 308 brass around . It's basically a straight neck up , I did go 32/8mm , 358 FL for mine . If you use a 98 or a long action and the 358 isn't enough you can always move it up to 9×57 or 35 Whelen . There are probably contured short chambered barrels available for 358 and of course finished barrels for the Savage base .
The 358 will burn a little more powder than the 35 Remington but it will also be a 250 yd elk rifle if pressed (I'd rather have a 180gr 06' but I wouldn't hesitate to use the 358 for even moose) . You can always turn the 358 down to 35 Rem but it's out of the question to turn up the 35 Remington .
Don't use an inside the bow floor plate release in a 98 if you're interested in going full bore ...... It's a hassle to keep closing it and picking up your ammo .
I got 2150 fps with a 35-250 FP RCBS . The 35 XCB is a breeze in mine but I have more work to do to get the load and before I do that I have to get some lube that is up to the task with so little groove available , some 2500 white lable maybe , of course my chamber was cut with the XCB reamer also ........
In a bolt gun given the choice of the 2 , I would go to the 358 again .
