You do realize that the wood cabinet is an insulator, not a heatsink
Try sticking the strips on a narrow strip of aluminum, and fasten that under the cabinet
As for the awning
Can you stick the strip directly to the awning tube ?
Let that be the heatsink,
These strips, really did start design life as something to be attached to car bodies and metal trim, material that conducts heat away from the LEDS
My main living room light, the one with the One bad led
Must have 3000 hours use time
6 hours or more per day for the past 18 months
I changed to led because I was tired of buying tubes that kept going up in price
The panels might be the best way for you, the good ones have metal backing and temp control via current control or heat sinking