LTspice suggests that this can work.
The only critical part is D2, which needs to have fast recovery because the waveform is negative for most of the time but we want positive DC to flow into Q2. Apparently 1N4148 may be good enough for 20MHz, but at 200MHz something better is called for like BAT83 (a fairly high voltage small signal Schottky).
The output of D2 is AC grounded by C1 while DC is absorbed by Q2 and amplified by Q3.
R1, D1, Q1 are an attempt at controlling thermal drift of detection threshold, not sure how effective they would be in practice. Due to aforementioned recovery effects, detection threshold varies somewhat with frequency - same simulation at 2MHz or 0.2MHz and 20Vpk amplitude shows ~50% duty cycle pulses at the LED, which disappear at 19.5Vpk amplitude.
edit
I think R1, R2 could be removed because R3 limits base current of Q2 and hence emitter current too. R3 can apparently be increased even to 1MΩ without issues. The circuit's safety depends on the threshold not being much lower than the amp's supply rails.