You were also a fan of P71s? How 'stock' did you keep it? By which I mean, how much did you try to improve it by stretching your definition of 'stock'?
I'm a Caprice-9C1 enthusiast (and OBD1-LT1 tuner); thanks to those cars, my definition of 'stock' is considerably expanded compared to most people's.
I'm no Kuato, but I'll suggest very strongly that you ... open your mind to a more freeing definition of GM OE.
More to ponder:
GM OE tire size for every GMT921 that is NOT a PPV, as well as every other GMT900 suv, and many GMT900 pickups, is 265/70R17.
GM OE for Tahoes PPV is 265/60R17 (not 16"). Yes, it may throw the speedo off. So what? - how badly do you REALLY need the speedo?
Don't worry about the ABS & Traction Control, so long as all 4 tires (not wheels) are the same diameter/circumference, they still work.
Have you shopped & compared 265/60R17 vs 265/70R17? Go to TireRack, few 265/60R17 to choose from (NONE I'd use on my Tahoe).
If keeping the speedo accurate is priority (?), 245/65R17 has 10x as many tires to choose from as 265/60R17, nearly all of which are better tires.
If you merely want to minimize speedo error, 255/65R17 (30.05") also has many tires to choose from, many of which are better than what 265/60R17 offers.
Quite a few other 17" tire sizes between 265/60R17 & 265/70R17, by the way:
265/60R17 - 29.51"
245/65R17 - 29.53"
255/65R17 - 30.05"
245/70R17 - 30.50"
265/65R17 - 30.56"
255/70R17 - 31.05"
245/75R17 - 31.46"
265/70R17 - 31.60"
GoodYear DuraTrac RT, Falken WildPeak A/T4W, Pirelli Scorpion WeatherActive, Cooper Discoverer Road&Trail AT, Nitto Nomad Grappler, Yokohama GeoLandar CV4S
GoodYear Assurance WeatherReady2, and more if you want to pay more, like the Michelin Defender LTX M/S 2 (beware, there are lesser Michelin Defenders)
Did I mention tuning? Disable Engine Half@$$, improve TCC behavior for better longevity and durability, make engine & transmission more responsive & fun ...