Perhaps you could mount an LED display on the inside of a wheel like a passenger compartment on a ferris wheel, where the compartment always points up. Then you could display text or a logo no matter how slow you were moving, even during a still-stand. You might be more limited in how much text/logo you could display as compared with LED lights that go around the circumference of the wheel.
Another idea: use an accelerometer to measure which way is “up” and the text/logo would be displayed right-side up using that measurement. The accelerometer is the device you have in your smartphone that helps re-orient the display depending on how you turn the smartphone.