FIRST thing to do is to inquire about just what your expectations might be and definition of "dog" might be! Even the base 383 2bbl with 2.76 and H78-14 tires will lay some rubber, IF its tuned to factory specs. With the additional low rpm torque of the 440, it should light the tires, even with the stock torque converter, from my experiences.
SECONDLY, even with that extra power, in modern times, almost every non-turbo 4cyl little car with the gazillion-speed automatics will leave our cars sitting still as they are 50' ahead when the light turns green. SO . . . just what is your comparison???
THIRDLY, are you just flooring it from idle or pre-loading things with the foot brake? With the stock converter, as tight as they tend to be (which makes for tighter throttle response at normal driving speeds), the engine speed will not immediately jump nearly as much as it might with a modern 6+ speed automatic with its approx 4.75 low gear ratio.
FOURTHLY, how is the engine tuned? What initial timing and what total mechanical advance in the distributor? Is the distributor stock for the '69 engine or is it correct for the model year of the car? A dwell tach and dial-back timing light can check these things.
So, just what are you seeking to achieve? Just curious. You can trick things with a deeper rear axle ratio and stickier tires, and a few rear leaf spring modifications, but the car is still a 4500 pound vehicle that is moving from rest, which takes TORQUE multiplication in the transmission gears and torque converter, plus the rear axle to make it work as well as it can. I believe that
@MEV has a quick '66 New Yorker with some YouTube videos of it in action. A nice car that is quick at the drag strip.
Although that generation of C-body does have a very credible road performance, key word "road", and can do well in drag strip performance, their main forte was higher speed highway travel with ease and comfort (even if the road might not be completely straight and flat), from my experiences. In other words, venues where its weight can be an asset rather than otherwise (as in the "stop light Grand Prix", as it used to be termed).
Personally, being from TX with lots of highways (rural and otherwise), the value of the 2.76 rear axle is apparent as that allows nice cruising in the 75-90mph range (at 70mph, our '66 Newport with HD shocks is bored, but at 75mph, its more like "This is fun. Lets do some more!" But past 90mph, the factory HD replacement shocks needed to be a bit stiffer for best results (with stiffer springs, too). Figure that with the 2.76 and P225/75-15 tires, approx 29mph of road speed per 1000rpm. With a 3.23, approx 25mph of road speed per 1000rpm. With fuel costs what they have been for the past 20 years, having the 2.76 can make financial sense.
Remember, too, that TIRES can make a big difference in off-line feel at high throttle settings. Get some better ones and they don't spin as much. Get some other ones and they spin easier, but will not last as long. More decisions . . .
Just some observations and experiences,
CBODY67