I have a middling case of aphantasia. I can create a basic image, blurry shapes, low detail, etc. with a lot of focus and concentration. I struggle immensely with faces I haven't seen a lot, and spatial orientation. Beyond that, I simply think in terms of words more than images.

As far as chess, this means I'm logically thinking out the moves, rather than mentally picturing it. I tend to get a bit overwheled trying to internalize the new board state after more than a couple of moves. I also don't play chess much, though, and would probably simply train that ability by playing more, just like someone without aphantasia will train visualizing more board shapes ahead.