I think you should wait and save. A $150 scope in that power range with any sort of decent ranging reticle or accurate turrets and even borderline glass is impossible, to my knowledge. If you find anything it will quickly disappoint. The Weaver Grand Slam Tactical, mentioned above would serve you well. They are sometimes on sale for $299, but that is still twice what you want to spend.
If you must, the Nikon P-223 3-9x40 with BDC at $200 would be my floor level choice. I think Nikon is running a special with most vendors to include the AR mounts for free or close to it. I do not care for the reticle and there are tracking issues with the turrets, sometimes. Some better than others. They are well made. Glass is only so-so, but not terrible. Worth a try. Most users seem to like them.
I see that upper receiver scope mounting is not an option. You need a special left side mount of some sort. I have no idea what those cost or whether ring size and spacing are compatible with the scopes being discussed. There is an AK forum here that might help with that.