My $0.02:
Use Dawn or Ivory liquid dish detergent as lubrication. Dump your brass into an old USPS medium flatrate box, put a couple of shots of the soap in there and shake the brass up good. Let that dry for at least 10 minutes. It won't be a lubricant until it's "dry". Once it has dried to a waxy/greasy film, it is at least as slick as Imperial.
When reclaiming range pickup brass, I agree with the idea of using a SB size die, and I also do this routinely. I just finished up a 2000 round batch of LC13 7.62 brass.
I use a Dillon 650 progressive configured as follows:
Station 1: Lee universal decapping die with decapping pin "clutched" properly
Station 2: Standard FLS die (with decapping stem removed) set to bump shoulder to ~0.000" as compared to a "go" gage.
Station 3: SB size die (with decapping stem removed) set to bump shoulder to GO minus ~.004"
Station 4: Sinclair expander die with appropriate "Neck turning" mandrel (bullet size minus .002")
Be advised you will not be able to get consistent "headspace" results on these range pickup cases. It'll vary by ~.003"-.006", so adjust your SB size die accordingly, so the largest cases come out small enough to fit any SAAMI compliant chamber. Some cases will end up a good bit shorter, but that's just how it goes with range pickup.
Using both an FLS and a SB distributes the work each die has to do, requiring less press effort and smoothing things out.
I am not interested in applying imperial wax to thousands of cases, which led to my experimentation of various case sizing lubes. Also, the soap is the only lube I've tried that allows me to FILL my tumbler with lubed/sized cases and get ALL the lube off with only one cycle. All other lubes I tried require me to put far fewer cases in the tumbler, or, change the water out (sometimes more than once) during the tumbling cycle.
Last thing about using the soap: Clean and oil your dies after use or they will start to rust.