Look into Mancini Racing refresh kits as a start for your rebuild:
Basic start:
Sealed Power Engine Kit - 360
A little deeper, I would recommend asking them to upgrade to higher compression pistons for an extra charge... These are in the 8 range, the other ones will be near the 9's in compression:
Sealed Power Engine Rebuild Kit - 360
Main kit page:
Engine Rebuild Kits
Then I would recommend this timing chain, it's one step above the stock 340 double roller, it's a true roller double roller:
Edelbrock