I tried using Amp Envelope but did not get a good result.
Sorry to be unclear, by "Amp" I meant the "VCA" destination, not the amp envelope.
Try these 3 things in your paraphonic patch:
1. Go to the Amp Envelope page and set the "VCA Env Amount" to 0.
2. Mod source: "DC" --- amount 64 --- Destination: "VCA"
3. Mod source: "LFO1" --- amount 64 --- Destination: "VCA"
Setting "VCA Env Amount" to zero means the VCA remains closed down completely, unaffected by the envelope. You won't hear any sound after doing that. So then step 2 fixes that by holding the VCA open with a steady DC offset. If you set the DC offset to 127 it would hold the amp open at full value, but instead I set it to half way at 64 so your LFO now has room to modulate it as well.