I see only one way to get cashback from miners. You need to give them a signed transaction and they will include it in their block, and part of the fee will be returned as a reward.
Theoretically, in practice, I have not seen this.
But I do not know if these few cents are of interest to anyone now with such low fee.
On the other hand when the fee is high, then the blocks are respectively completely filled without any cashbacks.
And the confirmation time grows because you need to wait for the block from this miner.