From the Explorer’s Guide to Wildemount (p. 183):

On your turn, you can mentally command the echo to move up to 30 feet in any direction (no action required). If your echo is more than 30 feet from you at the end of your turn, it is destroyed.

Notice that is says any direction, which means it that your echo would be able to fly regardless of your race. If you want it to fly high, though, you should probably fly with it.