With a 4" stroke, theoretically you should have a wider, flatter torque curve than the 360's already-good one unless it's some hairball peaky W-series-headed beast, which I don't think you have. So, you would probably be OK with the wider gear spread of the A833OD. A lot of guys will tell you it's weaker--which it ultimately is--than a standard A833, but I've never blasted one. Drag slicks? 4-link? Clutch dumps? Yeah, you might well damage one by virtue of the aluminum case or floating countershaft, but swapping the guts into a standard iron A833 case gives you both the stronger material and eliminates the floating countershaft (you simply use a standard one). You'd need the truck transmission, which has the long tailshaft like the B/E-body transmission, a 307-bearing main case, and a non-OD countershaft. This arrangement also conveniently eliminates any fussing with your existing bellhousing or clutch fork. Because the overdrive gear is actually in the 3rd-gear spot in the gear stackup, the 3-4 lever on the side cover needs to be flipped; making it work is not rocket surgery.
With a 3.23, your first-gear acceleration is very close to the same as what you have now, since your original transmission should be a 2.47:1 ('71-up) and the overdrive is 3.09:1. Some simple math bears this out, using either a 3.23 or a 3.55 gear:
3.09 x
3.23 = 9.9807, your total final drive in first. 9.9807 / 2.47 = 4.04:1 rear axle equivalence to your existing first gear.
3.09 x
3.55 = 10.9695, your total final drive in first. 10.9695 / 2.47 = 4.44:1 rear axle equivalence to your existing first gear.
So with either choice, you've got
better acceleration in first than your existing arrangement. Now let's consider the other end of the scale, the overdrive gear. Depending on who's writing the article, overdrive is either 0.73 or 0.76:1, but we'll go with the higher number as "worst case":
3.23 x 0.76 =
2.45:1 final drive in overdrive.
3.55 x 0.76 =
2.698:1 final drive in overdrive.
Based on your 26.58" rear tire, if memory serves, that puts you at either 2,327 or 2,558RPM @ 75MPH, respectively.
Yes, the RPM drop between 1st and 2nd
is significant but it's not unbearable (and if you haven't gotten your point across by the top of first gear, you probably never will
). With a torquey stroker, it might not even be all that noticeable. The overdrive gearset's first three ratios are almost exactly the same as those in a light-duty 3-speed manual.
If you want to stick with a close-ratio, there is another option: From 1964-'67, many A-bodies used a close-ratio transmission with a 3.09 first gear, same as the overdrive. These can be easily identified by the half-round groove ahead of the clutch splines. Those gears swap right into your existing case without any strength concerns whatsoever. In conjunction with the 3.23, you still improve first-gear acceleration but are now only around 3,000RPM at 75MPH. Guys at swap meets have nearly begged me to drag away their ball-and-trunion (flanged) output A-body transmissions with the 3.09 gearset! The last one cost me $100--he yelled "Make me an offer!" as I walked away--with the complete factory 1965 Hurst shifter still bolted to it.
I have one of each of the above transmissions for my Challenger. I'll run the 3.09 close-ratio with a 3.55 locally/everyday. However, two of my sisters, my daughter, and my best friend all live well over 1,000 miles from me. If the spirit moves me to visit one of 'em, I can swap in the OD and a 2.94:1 center section for the trip and cruise 85MPH with the tach below 2,400RPM.
The "low first gear" trick was actually used by Chrysler in the A99x transmissions. In the late '70s, Chrysler couldn't afford to tool up for an overdrive transmission, so they switched the A904's first gear from 2.45 to 2.77, then proceeded to install axle gears as low as mid-2.20s to keep the highway RPM reasonable (my '84 Fifth Avenue had a 2.26:1 axle, Sure Grip no less).