I have probably read thousands of mysteries and I can tell you there is no book (even by a Jewish publisher) that I would give to my child without reading it first.
That said, I have found the best place to find older & cleaner books is the flea market or thrift shop. Also, since you own it (often for a mere 50 cents) you can free free to rip out a page or two or black out a line or two and still have a satisfactory book. I’ve also bought boxes of books on ebay for a few dollars (particularly if they say ‘vintage’), but I do end up throwing out quite a few. I suppose one could contact the seller & ask about the books, but you could not trust them 100%.
I find the following clean enough for a married woman who is not ready to give up secular novels, but I don’t recommend them for a teen unless you comb through first.
Rex Stout’s Nero Wolfe series is usually clean although there are often subtle references to romances or issurim. I enjoy Mary Stewart very much but I don’t think I’ve given those to my children. Dick Francis writes mostly mysteries around horses & jockeys. You might also look at Mary Roberts Rinehart, Dorothy Gilman, Dorothy Sayers.