When you say 'restore' do you mean restocking as well as rebarreling? A rebarrel in either of the two calibers you mentioned would be very feasible and relatively inexpensive, certainly a lot less than your maximum. When you include restocking, however, the cost will double if the job is done right. However in a pinch I suppose you could use the miltary wood if suitably altered but the buttstock has entirely too much drop, for me at least.
The esteemed Mr hst (Glenn Fewless) is a good source of info on this subject since he's not only a Guild gunsmith but also a closet roller freak as well as a gen-u-wine certified National Championship Shooting Hero. He's pretty funny, too, but I keep reminding him that looks aren't everything! (enormous grin)
No, all joking aside, hst and First Shirt (Greg Pennell) are two folks on this forum who are in the business and can answer all your questions regarding specific choices and economics. I and many others recommend them highly FWIW.
BTW your 1902 action IMO is the best choice for altering into an octagon-top like the original high-grade Remington sporters and is also one of the strongest with the best extractor system. But that's just my opinion and I'm not a roller expert. ssdave on the ASSRA forum is a really nice fellow and knows lots more about 'em than I do and can answer any roller-specific questions you may have.
Regards, Joe