Basically, the characteristics I think are important a adjustable
flash intensity and adjustable apeture. Maybe also a pre-set macro/
close-up mode......and of course inexpensive (under $120....??). Any
other features to suggest?

No cameras, PnS or even DSLR has adjustable flash intensity. They are all
automatic.

You need an external flash to get this functionality.

Some camera have adjustable exposure compensation which affects the flash
exposure and may accomplish the same thing. But some camera's exposure
compensation may affect only available light not the flash.