Re: .338 build opinion
I'd still say that the AI rifle would be a top shelf choice even though that is not on your list of options, however given your 2 options here would be my thoughts on it.
The TRG 42 is a good rifle and right now (I think it is still on) Euro Optics has a great sale on them. (starting at around $2300 I think) The price will go up a bit as you add accessories like a muzzle break, bipod, scope rail etc. They shoot well and are an excellent value for the price.
The EDM rifle is good if you have a need to be able to take your rifle down into smaller pieces to transport in a small case or just plain like the design. It is a bit heavier and has it's own set of quirks but they are built well and EDM does provide very good customer service & they are fairly accurate & built like tanks. The cost however is likely to be higher and about what you could get a lightly used AI for (which again I think would be the best choice).