Shuffling Files Within A Folder

G'day All, I'm using Windows 10 and want to shuffle some files within a folder and can't work out how to do it or if it's at all possible.
I have a folder containing music, about 120 songs in MP3 files.
I want to be able to play these tracks in a certain order for a CD/USB compilation.
My ideal solution would be a program/app that allowed me to highlight a file(s) and drag it into position, then proceed through the folder until I had all the files in the order I want. Then, using something like MP3Tag I'd renumber all the tracks thus preserving the order.
I've tried a number of Windows Explorer alternatives and using dual panes I can move tracks from one pane to the other. The problem is that Windows insists on sorting the files into the order it wants.
I just tried using 2 separate windows using Windows Explorer which has the advantage of showing the folder as Music with the various fields. I also changed the 'Group By' to 'None' in both folders. I was then able to transfer the tracks across in the order that I want - although I still can't insert tracks they all have to go at the end. All looked acceptable until I closed the folder off at which point Windows sorted them files in IT'S order.
Short of printing a list of all the tracks and numbering them on paper then transcribing the number to the front of each track I don't know what to do.
It shouldn't be this hard. Any help/suggestions would be welcome.

 

See if this helps.
Point on Arrange by and click Clear changes.

 

Apparently not available in Win10, replaced by 'Sort By'

 

Apparently the option to custom arrange files in a folder was removed starting with Windows 7.
If you're comfortable with editing the registry, have a look at this after backing up the registry keys you'll be editing.
https://windowsreport.com/disable-auto-arrange-folders-windows-10/

 

In media players you can create playlists which do exactly what you say you want. Might that feature help?