Big block will get you there easier, at less RPM and with less "exotic" parts. Using the 400 block you have some stroker options 451/470/499/512. A relatively basic build with just about any aluminum head shouldn't have a problem cracking into the 10's

It can of course be done with a small block as well, but might require a couple extras, Ported heads vs Non ported Big block heads for example.

If I was in your shoes, first thing I would do would be make the car run and drive again with the 340 you already have. Good Luck!