Off your list I like the 7mm 08, it'll do all your asking and more (if required in the future). Not on the list I like the 2506 rem it is a sweet varmit to deer sized game cartridge. Who can really argue with a 270 or 308 win either though, both are perfectly suited for handling deer and as such remain popular choices. The list is long, just a manner of finding the one that fits best.
I am trying to build a light to medium weight rifle with low recoil and reasonable ammunition
This leads me to believe you will not be reloading and in fact buying OTC Ammo. So while a number of afferings fit the first portion, the last portion of reasonable ammo willcut downthe potentials somewhat. I'dsuggest checking your area on ammo selection of the carts. of interest. IE: of those you listed the .260 rem is one of the more limited OTC offerings & the .308win is the opposite.
Good luck