I applied in May of 2000 for my current call and the whole process, including the submission of the fee, only took 18 days. The payment was validated in 10 days and the rest took 8 days.
Didn't know that it is a random selected operation in getting the vanity. So I wonder if that is why it's been over a month now; waiting for more applicants to apply?
No, that isn't very likely. The random selection process is only applied if there are multiple applicants for the same call sign. While a 2x3 call is as good as any other call, the ones that are in demand are the 1x2 and 2x1 calls. I doubt there was any competition for your selected call.
Have you checked the FCC.gov web site? The RadioQTH web site is a good way of looking for available call signs, but it only has very limited information. You should be able to log in to the FCC.gov web site using your FRN and see what is holding it up.
I looked up KC4RAF on the FCC.gov web site but it only shows that it expired on 09/10/2011. Since you haven't listed your name or current call sign, your on your own to search it out yourself.
There use to be a fee for vanity call signs, but I think that was suppose to change. The following is from the ARRL web site.
"
Effective Thursday, September 3, 2015, applicants are able to file all vanity applications (new and renewal) without having to pay a regulatory fee. FCC decided earlier this year to eliminate the regulatory fee component for Amateur Radio vanity call signs because their costs exceed the amount collected in fees."
If you applied before Sep 3, it may be waiting on the receipt of a fee.
Martin - K7MEM