I'm trying version 18.4.1 for a week (Driver version: 24.20.11001.5003).
So far, no BSOD. I can be confirms that it not causing to BSOD ("System Thread Exception Not Handled" -> atikmdag.sys).
Wow. Finally, AMD developers, thank you!
Of course, I can't write any a comment about performance of the driver (because I don't play games).
I recommends to R7 240/250 users to installing this driver version. In this way, incoming feedbacks can help AMD for officially will be announce that this issue has been resolved in the "Release Notes -> Fixed Issues" section of Driver.
My system infos;
GPU: AMD Radeon R7 240 (Product ID: 113-AD58100-200 / Code Name: Oland Pro)
CPU: AMD Phenom II X3 710
Mainboard: GigaByte MA790X-UD3P
RAM: Kingston 4 GB DDR2
PSU:: HighPower 400W
OS: Windows 10 v1803 (but rejected Build 17133.73)