"Few a" v. "few"

Note: This question is about whether few a is a grammatical construction. It is not about the usage of a few. In my mind, few and few a have identical meanings — as opposed to few and a few, which do not.

In a recent English essay of mine, I wrote the following:

...on the edge of a town few a map even bother to record...

The instructor marked it up to the following:

...on the edge of a town few maps even bother to record...

Having my attention explicitly drawn to this made me realize that I have no idea where I picked this construction up — and I use it all the time. I can find several other instances of it in my own writings, but I am having trouble finding even one online. The Ngram viewer seems to support my construction being essentially nonexistent:

If I check the texts associated with "few a", all I find are variants of "...few, a..." or "...few. A..." (i.e., "few" and "a" are coincidentally linked by punctuation).

The second example above is obviously grammatical.

Is the first?

Solution 1:

You are perhaps thinking of "Many a map shows the town" as in

1989 O. S. Card Prentice Alvin iii. 52 That road led through many a village and many a town.

and attempting to replace "many" with "few". Unfortunately, this collocation does not exist in English. It would be "Scarce a map..." but this construction is somewhat archaic.