The short version
Two budget, subscription-free rings. The Amazfit Helio Ring is the cheapest ($199) and lightest; the RingConn Gen 2 costs $50 more but fixes the Helio’s weak spots — a ~12-day battery and a wider size range.
When the Amazfit Helio Ring is the right pick
Lowest price and lightest ring are the priority, and one of its three sizes fits you.
When the RingConn Gen 2 is the right pick
You want a much longer battery, better fit range and dependable tracking, and $50 more is fine.
Also worth comparing
Against the pricier no-subscription options, see the Samsung Galaxy Ring; against Oura, Amazfit Helio vs Oura Ring 4. Full field: best HRV trackers.