In my qualified experience this would be a reliable and low maintenance inheritance
The 3800 Series II is a wonderful engine and should rank as one of the finest production engines of all history.
Second, I concur that the intake manifold gaskets should be replaced (if not already) to the second/upgraded design. GM parts and Fel Pro have a kit ready to go for this application due to the massive blemish to this otherwise perfect power train.
Third, although it has been missed here inspect and preemptively replace the valve cover gaskets if there are signs of deterioration. At 13+ years exposure to the elements, engine heat, and all the nasties out there it is invariable. Valve cover gaskets on these engines do go. On some 3800 the threat of engine fires caused a recall....except in mine which leaks and "did not qualify as a non TSB'd model" Aside this a reason I keep my engine bay nearly spotless and consistently degreased and washed down. This way the mechanic and or I can quickly detect the incidence of no good under the hood or car. All of our 3800s developed leaks past the 100k mark.
Fourth, at 95,000 miles you are likely approaching the design limits of the factory installed Platinum rapid fire plugs. The replacement GM/NGK Iridium plugs make for a good upgrade. Platinum is tried and true and will also serve you well. I would also suggest spark plug wires if there is an age issue.
Finally another potential problem is the camshaft position sensor. When this fails it causes a weird stalling of the car at braking. This is an easy fix if it ever occurs. You can find Delphi and AC Delco branded CPS sensors at rock auto online.
good luck