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If the balls are always a similar distance apart, just parent some thin Cube Colliders to the back of each ball and program each ball to always face toward the previous.

For the model - how good are you in Blender?  I'd make a single segment in Blender with one or two bones that aligns itself, again, with the previous segment, like so:

Make sure each bone's vertex group has full weight on its end only:

You could also add a texture from here.  After unwrapping it with some seams, I painted it with a simple pattern, using an array modifier to make the texture repeat smoother.

Export as FBX.  In Unity, just instantiate some of these at every ball, making the "front" bone point at the next ball and the "back" bone align with the one you instantiate it at/parent it to.  I haven't tested any of this in Unity, however.

You can probably download the .blend file here.

Cool idea! I liked trying to find my way around without the eyes sense, it was fun.

The size mechanic was unexpected.  I like it.

With some more enemy types this could be a pretty great game.

This is pretty difficult! I like the toggle between modes, and I imagine it would be way more fun if my controller worked.

Nice "only one" theme... only one STAT. Controlling the health and the upgrades with the same thing requires the player to think. Could use a bit of balancing, the enemies can be dodged fairly easily as long as there aren't a lot.