A few years ago, I ordered a copy of the New Testament that he had for sale. It was nice to have. That said, I also agree with what others have said. Certainly the site is odd, to say the least…(I absolutely love the Douay-Rheims Bible, but I don’t agree with any type of “Douay-Rheims onlyism”, least of all the kind he promotes.)
That said, if you want access to a facsimile copy of the original Douay-Rheims, and are not bothered by the old spelling and typography, etc., it is available on the Internet at various places. For instance, I noticed that someone had uploaded it to Internet Archive (though I seem to remember thinking that the person who did seemed to be “kooky” themselves). That said, the Bible itself is good to have access to, and so I decided to make a page that links to each individual chapter of the Bible on there, for easier navigation:
Original Douay-Rheims Bible
Also, there are places where you can order facsimile editions of it as well in print (like churchlatin.com)
Of course, if you wish it only in more modern spelling, etc., the only place I’m aware of for that is the place you originally mentioned.