The cheaper one has no plastic case.....The scents are slightly different as well, I think. Neither has much of a scent in my book...Smells like soap..
I've never tried Bea, but the Lea is my travel stick. It smells soapy, clean and lathers well. It gives me a good, comfortable shave.
I wouldn't choose it first when I'm at home, but it does the job.
LEA smells like powdered laundry detergent. I haven't been able to get a good lather out of it yet, but I've only tried twice. I'll report back after some more experimentation.
I just used my LEA again today at a hotel. I face lather it. It did not have a lot of lather, but it did have a lot of protective slickness that made for a fine shave. I had to rinse off the slickness for a while after I was done.......
The ingredients list is completely different for each of these. The LEA is the better of the two and lathers somewhat more richly. They are a good product, though unremarkable. They're inexpensive and worth the going price, but I wouldn't necessarily seek them out.