Driven Snare
The signal follows 2 parallel paths.
Path 1: The noise.
Path 2: The oscillators.
Try changing the feedback to come from different sources: FX-send, filter, main out.
Further Reading:
SOS: Synthesizing Drums: The Snare Drum
SOS: Practical Snare Drum Synthesis
Moritz Klein : Designing a TR-808 style snare drum from scratch