727 modifications .....

The 727 is plenty strong to hold up to most any 340. The only thing I'd do is put in a Trans-go TF-2 kit and a deep pan and trans. cooler.

But....while your in there you could look and see what front band lever it has. If it's the 2.9 lever (will be stamped on the side of it) replace it for the 3.8 or 4.2 lever. That will firm up the 2nd gear shift also. If you really want a super firm 2nd shift block the accumulator.