Heya, Audioguru. Well, I bought it (and several others I tried) new from Digi-Key about a month ago. It's not the "high efficiency" type that puts out thousands of mcd, but it's not the old 1970s kind either. You can see the data here: https://www.digikey.com/product-detail/en/sunled/XSDG23MB/1497-1042-ND/4745857
Your LED is low enough current to allow sourcing and sinking from pins on the PIC. So you can simply apply power from your PWM pin and select a ground pin connected to a different current-limiting resistor that suits your needs.
This way you get 1-255 duty cycle on a 100 ohm resistor (30 mA), then switch the ground pin to an input, then switch another pin from input to and output low, that is connected to a 1000 ohm (or 22k ohm) resistor (3mA) for 1-255 duty cycle.
So you are using a modern 3.3V to 4.1V green LED that is extremely bright. I have a solar garden light like that that lights up my entire neighbourhood at night.