I have the LG
LD301EL that I bought at Home Depot in 2011. It works really well. I have it set up for continuous draining.
Link to pictures.
I use it during western WA's rainy winter. I don't worry about is filling up the gray tank because the valve for the gray tank is left open during the rainy winter. This is necessary because on those days where it gets below 32°F the kitchen faucet is opened to run at a trickle to keep the water line from freezing.
It gets put away in late Spring. Summers are dry here and it isn't needed.