AXA HR dynamo + AXA 70 Luxx Plus Steady Auto headlamp w/ USB port & 4 minute steady light. Shopped carefully on eBay, maybe 2/3rds of your budget - that's in the fiscal neighborhood of just a Sinewave Revolution alone.
Not quite fully compliant with your list of requirements, but it will make Dinah Moe Humm.
Last edited by tcs; 10-24-17 at 10:19 AM.