Just bought everything for 3.73 gears

If the Hughes converter is a quality unit, you shouldn't have any trouble with the 3.23s. I had a 10 inch GER converter that flashed to about 3800 in my 3.23 geared 68 Satellite. Street car that I drove all the time. Ran 12.35 at 107 with an 8.5 440 , 906s, Comp 292 501, Torker, 750dp, 28x9 slicks. 1.69 60 ft. While the GER performed okay, it was a poorly machined piece of crap that would crack a flexplate about every year. Replaced it with a 9.5 Dynamic that was built for the car. I'ts been in the car for about 12 years now. No issues whatsoever. Flashes to about 4500. Drives fine but is a bit looser than I would recommend. Unfortunately no track times with the Dynamic as I have had other projects going on and the Satellite really needs some things done to it before it would probably pass tech again (leaky oil pan, leaky ps, rusted out floor pan, etc) and the engine is getting a bit tired. In short, use a good cooler and you will have no problems. You already have the 3.23s, you might as well try them.