So I've recently been checking and messing with my transmission (4t60e 210k) and so far I haven't been able to figure out how to get a temp reading from it. I've tried Torque with a scan tool with no read. It doesn't have a gauge either.
Not sure if the 97's had much for that (oddball year that I always avoided, even for parts).
If it's a big enough concern, you can always try adding a sensor in-line with the cooler tubing for a separate aftermarket gauge. You'll just want to make sure to have it installed clean and secure to not risk a leak. Something like this $72 B&M kit would work, and you might be able to find something cheaper/better display if you shop around:
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