THe circuit you're thinking of probably is a buffer opamp with a diode in the feedback loop. The voltage drop of the diode will be divided by the opamp's open loop gain, so you effectively have a "perfect diode" (zero voltage drop) circuit. It will then feed a low-leakage capacitor to record the peak. You'll also need a way to discharge the cap. This is in the Analog Devices _Nonlinear Circuits Handbook_, but my copy is probably still packed away after moving.
The problem I see is that the peaks you're trying to detect are very short. You'll need a very low value capacitor with extremely low resistance to measure something like that accurately. It won't be easy!
Here's what I would try instead. Pick up a Sample & Hold chip (can't offer a part #, sorry), and figure out a circuit to trigger the S&H when the pulse comes through. All the hard work is done inside the S&H and your A/D converter can read it.
Better yet, find an ADC with built in *fast* S&H and an external trigger. They do exist, but you're on your own with that search
