I think Maynard is basically bang on. Savage makes some very good rifles and some that are more "monday" rifles. I have seen mostly good with the Savage f-class and palma lines, but i have also seem some that were not great at all.
These Palma rifles are not cheap; when you figure in the cost of putting sights onto the rifle, I think you will find there are many excellent options out there in the way of used Target/Palma rifles.
It is indeed possible to build a purpose-built custom rifle for not much more than the retail cost of a Savage and with the right choices, you would have a rifle that stands a very good chance of being as good or better then the best Savage.