Hi,
I can provide you very simple LPUART TXRX DMA example for the S32K144 from my colleague Petr. (attached)
The chip-specific DMAMUX information can be found in the attachment of the Reference Manual (RM) rev.9 S32K1xx_DMA_Interrupt_mapping.xlsx

Please refer to "17.3.1 DMAMUX register descriptions" and "17.3.1.2 Channel Configuration register (CHCFG0 - CHCFG15)
The slot number (source) can be seen in the document above in the DMA_CH_MUX sheet.
Unfortunately, there is no application note how to use DMA with periodic trigger mode on UART TX. However, I believe the simple example will be very useful for you such as a starting point.
Best Regards,
Diana