The Remington 7600 is a pump action. 7MM-08 and 260 are not cataloged. I believe these rounds would fit the bill nicely for you. I have seen the 7600 in these calibers at several gun shows. I have a 7600 in 257 Roberts. This caliber isn't in the Remington catalog but I have seen many others at gun shows. It seems that any distributor that can place a large enough order can get just about what they want. Such as, I also own a Remington 700 Classic Stainless in 257 Roberts. This rifle is stainless barreled action set in a classic stock. The rifle and the caliber are not catalog items for Remington. Also, at most of the shows I attend you can find 700 ADL synthetics in 7MM-08, 260, 257 Roberts, 300 WSM, & 25-06. None of these are catalog calibers for the ADl synthetic. So if you would like a 7MM-08 or the 260 look at some gun shows or try
www.gunsamerica.com and see if you can find one. My father has an old 760 pump with an 18-1/2" barrel chambered in 308. I would love to have the same rifle in 260 or 7MM-08. I can't think of a faster handling deer rifle.