Hello Zippys,
You are correct, if the compressor locks up, you will get a blinking light.
If you are out of freon the compressor will not turn, no blinking light.
It is on the driver's side.
Since your fan speeds are not blowing in the cabin, and I assume that is what you are referring to, and there is no code, I would start looking for a bad fuse or ac relay. Hopefully, you have an owners manual and can find the fuses and or relay. It could also be your ac control module.
My suggestion would be, if you have trouble locating the fuses, is to take it to a shop and have them give it a look.
If you are referring to the fans in front of the condensor, under the hood, they won't kick in until engine temp goes above normal. If those are the fans you are referring to, you will have to see if the compressor is turning when you turn on the ac. Right below and to the left of the battery. If it is not turning then you are out of freon and that means a leak. I am not sure if you get an error code with a bad compressor clutch. Let us know.