Duo rejected, "Have you got any kind of bowl?" Yet in British English, "Have you got.....?" and "Do you have.....?" are both used to mean, "Do you possess.....?" (I have reported this).
Yes, it's a bit awkward in my native language (Portuguese), too :D But Zamenhof was a native Russian speaker, many speakers of Slavic languages (where they speak like that) learned Esperanto and even the table of correlatives was inspired by Russian, so in Esperanto this is normal, too. This link (in Esperanto, but not hard to understand) explains that the difference between "iu" and "ia" is generally small, and sometimes it doesn't even matter: http://bertilow.com/pmeg/gramatiko/oa-vortecaj_vortetoj/tabelvortoj_u.html#i-1r2
This seems normal for English to me. For example, if you were at a party and the host asked if you wanted to take some leftovers home with you, you would probably ask, "Do you have some kind of bowl I could take them in?" (meaning something not breakable, or even better, disposable, but at any rate any kind of bowl appropriate for transporting leftovers.)