After moving to a P71 with 3.27s from my 2.73 gear CVLX, I can say I will never buy another one with the 2.73s. They move off the line like a Econoline van up to about 20-25mph.
Here's my 2004 CVLX going WOT to 55mph. This was only a month after I bought it, so I hadnt yet done any mods. Had the factory Michelin Energy tires still.
https://www.youtube.com/watch?v=e-i3mkyEBI4
(The Youtube embed is not working for some reason)
On the software side, if its a 2002 or older all you will have to do is change the gear on the speed sensor of the transmission. Thats it. Its not enough of a difference to screw with the programming of the PCM.
If it was a large jump, like to 3.55s, what can happen is the PCM commands a shift at WOT based on RPM, then after it shifts the MPH is low enough to want it to go back into the prior gear and it redlines the engine.
On 2003+, the speed sensor was eliminated and the PCM generates the speed signal from the Output Shaft Sensor on the trans, so the only way to correct it is to change the programming.
I would look for a HPP car, like above. They have factory dual exhaust and a rear swaybar on the axle. A lot of places don't know these cars are anything special and price them like the plain jane cars just with alloy 16" wheels. Its the Sport and LSE models with the 17" wheels and center console shifter that get the increased price.
I almost bought a CVLX HPP after I wrecked my old one, but when I called, they had sold it. It was a good price too.