> 8GB of DDR3 is currently in the ballpark of $10

Where would I find it sold?

> and the machines that take it can be found by the pallet in the "free e-waste" pile

Hey, I'm using one to write this :(

ZRAM does miracles under GNU/Linux:

       sudo modprobe zram 
       sudo zramctl --find --size 512M
       sudo mkswap /dev/swap0
       sudo swapon /dev/zram0 -p 99

EBay has dozens for <£12

Facebook marketplace for one.