3mm steel would do well against some spinners, with the exception of the insanely high-powered ones. Hardox would be the next step up from that; 3.2mm hardox is close in thickness but more expensive than the generic 4mm hardox used by many robots. 6mm thick hardox is OTT for featherweights, the 4mm stuff works fine. It formed the back end of Drumroll and never sustained any damage except for paint scratches.
If that costs too much, plastic is the next best alternative. Polycarb would work but you'd probably need 8mm-10mm minimum to defend against spinners and it starts to get expensive at those thicknesses.
HDPE is much cheaper and something in the 8mm-12mm range would be fine. It absorbs the energy from spinner impacts more effectively than polycarb and is easier to work with and repair/reform if damaged.
EDIT: In response to your most recent post, I reckon 20mm thick HDPE armour is overkill. You don't really need that much. For top and bottom panels, it is your choice between steel and HDPE but 5mm HDPE might be a bit flimsy; I use 8mm stuff when using HDPE for a base which is more rigid.


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