I think you are being very optimistic expecting to draw 10 to 20 amps from AA cells. This is how I made my ring light for macro photography.
**broken link removed**
Even though the LEDs are mounted on an aluminium ring they still get quite hot after a few minutes and that is only about 12 watts. "Angel eye" LED ring lights sold on ebay for cars may be a solution to your problem. These step up voltage regulators **broken link removed**
sold on ebay by various sellers can easily be modified to be a constant current source but they have a maximum output voltage rating of 35 volts so they only power two of your 10 watt LEDs in series. This is the modification to make them constant current output https://lesjhobbies.weebly.com/led-driver-01.html
Les.
**broken link removed**
Even though the LEDs are mounted on an aluminium ring they still get quite hot after a few minutes and that is only about 12 watts. "Angel eye" LED ring lights sold on ebay for cars may be a solution to your problem. These step up voltage regulators **broken link removed**
sold on ebay by various sellers can easily be modified to be a constant current source but they have a maximum output voltage rating of 35 volts so they only power two of your 10 watt LEDs in series. This is the modification to make them constant current output https://lesjhobbies.weebly.com/led-driver-01.html
Les.