If the pores aren't already sealed, some Truoil will work; otherwise, for cleaning sweat, etc. I use Murphy's Oil Soap followed with Howard's Feed-N-Wax - the same stuff I use on some expensive designer tables I own.
Don't leave it in your soft case for a few days.
Wipe the gun down when done shooting, a Remoil rag or similar will work on the blue areas to keep sweat salts from discoloring the bluing.
If you really don't want to bother will an oil stock, finish it and then apply a decent poly