On Monday I called Barnes & Jones to order a couple of Big Mouth BJ-3CR Crossover Traps (the one without the o-ring seat), but was told that I need to order them through an authorized dealer. Then Barnes & Jones would drop-ship them to me.
So I called SupplyHouse.com and spoke to a nice lady named Demetra, explained what I wanted, and helped her find it on the B&J website. She told me that it would take a couple of days to set it up in their system, but once that was done they'd send me an email with a link so that I could order online. Well sure enough, I got the email with the link this morning and placed my order. https://supplyhouse.com/Barnes-Jones-BJ-3CR-3-4-Crossover-Trap
Their price ($73.99 each) looks very good to me.
You can also type "BJ-3CR" or "crossover trap" in the search box at SupplyHouse.com, and it comes up at the top of the search results. As of today, it shows as out of stock, but available for delivery between Monday, July 13th and Thursday, July 16th. I'm hoping that once they get a few orders, they'll add inventory.