You cannot really supply chips with a potential divider unless the current through the divider is a lot higher than the current consumed by the chip. You should also decouple the supply pin to the 555 in either case.
Keith.
If you consider a board redesign to meet the thermal requirements, you could also think of an option to reduce the power dissipation in a more principle way.
Now you're feeding a square wave with variable amplitude to a power OP. You could also use a switched push-pull output stage with a variable supply voltage instead. The variable supply would be generated by a switched mode converter. In a variation, a fixed voltage with variable pulse width can be used to control the output amplitude.
P.S.: If you want 5V for the LM555, a small low power voltage regulator (e.g. 78L05) is the most easy and precise way.
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