I got a really good deal on a used 300 RUM by savage. Kirby put a 30" #8 Lilja pipe on it, new stock, trigger job, Holland QD brake (yes, real men don't need a brake), scope base hole #8x40. It's a real shooter, I love that gun. With my newly acquired gunsmithing skills I put on a 40 MOA NF rail (it came off after one trip to the range, but Kirby explained how to install them correctly after he got my panic email), Burris Xtreme rings; one of my NF scopes. (usually the 3.5-15x56 with NP-R2) - a Harris bi-pod with pod lock - and a sling.
I don't see why you couldn't make it a 338 RUM or better yet a 338 edge. I'm no smith, in fact, only now after 3 years of study am I qualified to sweep a good smiths shop. (hopefully I wouldn't throw away any good parts or tools that fell on the floor).