Chevrolet never offered the 327 in a 4 bolt main production car. 68/9 a limited run of industrial engines, very rare if that is what you have someone swapped it in.
Yes any 4 inch bore can be made into 302, 327, 350 based on internals. But why? I have had 302, 327 with 4.11 4.56, 4.88 gears. I would take a 383 or 406 on the street.
Why it seems "lazy" as you described it is the 2.73 gears and 2.52 1st gear TH350 & taller tires. Your 8.2 would need a new series 3 carrier to go numerically higher. The 8.2 series 2 is for 2.56 & 2.73 gears only, series 3 is 3.08 to 3.55. IF you have an 8.2 series 2 posi carrier congrats! Extremly rare. So much so in 67 all Chevy passenger cars ordered with 8.2 10 bolt 2.73 POSI GM automatically upgraded to 12 bolt rear ends, including 6 cylinder cars. Great deal!
The 2.73 ring gear x the 2.52 TH350 first gear only make for total gearing for first gear of 6.87:1. Add the likely 1.5 inch taller tires you have it knocks it down to 6:1 ish total gear in first. You will be much happier around 9:1 or 10:1 in first. The shorter stroke is hindering your low end torque. Those 2 things combined is why you aren't happy with its launch. A 327 or 302 can be built to make big power but need a lot more gearing, cam, compression and then it'll still take a higher launch rpm. I run a 2.73 behind a Doug Nash/Richmond 5 speed, no overdrive. First gear is 3.28 x 2.73 = 8.9:1 total first gear. I am considering going 3.08 for 10:1 first gear total gearing. Gears 1-4 match identically a 4.11 rearend close ratio Muncie car, with a 3.08 gear it matches a 4.56 rear close ratio Muncie car. 5th gear is 1:1 so 2.73 or 3.08 = highway. Your gearing can kill your joy or wake the car up. If I go 3.08 it will run like a 4.56 Muncie gears 1-4 but 2600 rpm in fifth gear @70mph, the muncie car has to turn 3956 rpm @ 70 mph.
Play around and sort out your gearing, then either rebuild your 327 as a 350, or buy a BPE 383. I would buy a 383 before building one unless you have done it before, requires careful checking of some clearances and selection of components, but you can do it. Personally I like 400 sbc, why give up the larger bore, unshroud the valve a little, thats just me. A 700R trans gives you a 3.06 1st gear I believe, but look for one 1987 or 88 and up when they had them sorted out and before things went electronic. The longer stroke 383 is easiest path to low end streetable broad torque band. Consider how you will use the car, 8.2 with upgraded 1541H axles, posi carrier can live on the street with no slicks or big sticky tires. If you do keep the 8.2 and go 3.08 gears opt for the 37/12 gear set vs the 40/13 (1st # is ring gear teeth, 2nd is pinion teeth). Both make a 3.08 but smaller pinion create less heat, longer life and better acelleration. Hidden gem is an 8.5 corporate 10 bolt add 30 spline axles & posi carrier, already has same size pinion diameter as a 12 bolt and 7/16" ring gear bolts, 12 bolt shares the 8.2 3/8" bolts. About half the cost of a 12 bolt.
Good luck, beautiful car, best year!