This has turned into an interesting thread to me for linguistic reasons. (the old joke of separated by a common language)
flan ≠ flan, in Europe I have gathered.
Flan in UK must mean a thin sponge cake layered with fruit and custard toppings. Using a tart or quiche removable bottom pan. (OP doesn't want a springform version).
Flan across the Channel, in the US and Latin America is a baked custard with caramel topping that is made to be inverted at serving. Lots of special pans for this flan prep.
So a flan in UK would require a tart pan, quiche pan, cake pan or "sandwich tin"(??) with removable bottom (NOT springform I guess)(I've been searching the Amazon UK site with glee).
In the US, the pan the OP might look at would be a cheesecake pan. I have always made cheesecake in springform, so I wasn't aware there were "cheesecake pans".
Amazon US has this version (eG-friendly Amazon.com link) which looks like a plain sided, deeper, removable bottom cheesecake/cake/flan/quiche/tart/etc (whatever the heck you want to call it) pan.
I guess the trick is knowing the terms to search for? Maybe? This is a cheesecake pan on Amazon UK (eG-friendly Amazon.com link), but I still don't know if it is what OP is looking for .