Hello Steve, I too also own a '97 Tahoe, and experienced a few minor leaks over the years.
One, was a Heater Hose Clamp not even properly installed by the factory near the firewall, two, was a leak at the underside of the Resevoir Tank, noting the crappy little plastic Hose clamp on the line, I removed tank, cleaned, inspected, and replaced with a decent Stainless Steel Clamp, and three, the heater hose quick-connect on the top of the intake manifold was always showing dried anti-freeze, so I knew this was a problem, and decided not to replace with an original factory quick-connect, but rather a 3/4" manifold-heater hose fitting available from places like Auto-Zone-Checkers for just a few bucks.
Hope these suggestions may help you. Otherwise, as other posters have mentioned, a pressure test of the entire coolant system will definitely be the way to go. Usually places like Auto-Zone will do these checks for free. Mark