I’ve done tween based grid movement too, and ran into the same problem. There may be a way to keep it (e.g. speeding up the animation could be the simplest and would fit the theme/sense of urgency). Tweens are great and I rely on them a lot, especially for adding flavor with ease modes.
Research is a smart decision, though! Looking into how other well known games tackle it gameplay-wise could give you more ideas (Baba is You is a nice example, they also have a cool trail effect on the player to help simulate “speed”)
You’re doing great for such a short amount of time programming :) It took me years to get where you’re at haha.