You need to select SDK based on your SoC, carrier board has no role here.
You can get the SoC variant information on your module datasheet and select the compatible SDK.
For IDE, please refer to the document that is provided in the SDK
eg. MCUXpresso_IDE_User_Guide.pdf
The MCUXpresso IDE does not seems to be compatible with the toolchain. Please read this comment
You can go with VScode or any other IDE mentioned in the user guide.