Kevin,
I think there is a possibility that that might work. If you just wanted to shoot your bullets at a lower velocity and not use gas checks, you could just swish them around in some Lee Liquid Alox in a plastic butter dish.
To seat gas checks, although I have never tried this, I think you could use one of the Lee sizing dies that is meant to be used in a press. If you were to modify the use by turning it upside down over your Classic Lee Loader and tap them through in the same manner as you use the classic tool. I believe it would work.
However you might consider asking this question to Lee at: info@leeprecision.com and see what they think. I think it would work.
Good luck.