I just bought one that was like new also(12 gauge). I paid $275 for the shotgun with 3 chokes, and a sling. One of the choke tubes was a turkey full tube. IMO I got a steal. So $350 is not real far off.
One thing you want to remember. 1300's are not known for being a shotgun that has light recoil. Even in a 20 gauge. You might want to look at a gas operated automatic if recoil is really an issue. A 1300 in 20 gauge is still going to kick a good bit. Not like a 12. But still some recoil. Tom.