MacOS won't install on new Internal SSD

Hello!

I have a Macbook Air 11” early 2014. I don’t have the original SSD. I bought new one:

Toshiba 128 GB Model #: 656-0021B

The Mac will start up fine on a USB Bootable Flash Drive loaded with Sierra. I’ve tried it with newer OS, but they gave me more problems. Sierra has been the best so far. It lets me do the following steps:

Power system on while pressing Command R (USB Bootable Flash Drive with Sierra plugged in)

• Open Disk Utility
• Format Internal SSD to Mac Extended
• Reinstall New OS
• Select Internal SSD

Everything starts like normal then right when it finishes it goes to the light grey screen. If the USB is still plugged in it boots, but is still working off the USB. If the USB isn’t there it just does the folder Icon with the question mark.

So my main problem is getting the OS onto the internal hard drive. I’m wondering if I could get an enclosure or a SATA cable to instal the OS externally on a working computer. The problem is I can’t find an enclosure or cable compatible with the SSD I got.