Japanese Browning are made by Miroku, I own 7 different Browning Miroku's and have zero complaints on 6 of them. My kid shoots a Browning XT, and it does not like about 1 out of 50 of my reloads, but they work in any other gun. No idea why.
The Winchesters where made by Olin Kodensha (I am sure I am misspelling that) Nothing wrong with them at all. I saw a single barrel Trap 101 at NW Pawn yesterday as a matter of fact. I shoot a lot of trap and always check the used racks.
Call Double Eagle in Deer Park, they have everything.
In the same price range new in the box Browning CX (shots 60/40) is a great gun for the money. The CXT (trap) shoots 70/30 and the CXS (skeet) 50/50
Hell Double Eagle might still have the CX I traded them for the #()$(+%+# XT that does not like reloads.
You are on the right path for an affordable O/U with the 101. That is 100 times the gun than any of the Turkish crap. People will pop on here and say they are great....they are not if you plan on shooting more than a box a year and you will never get your money out of them