Well. it's kinda high current perhaps up to 20A... so Thermistors add losses.
I was thinking perhaps a very low on resistance N fet that would switch on based on the +ve charge across the cap. The cap will charge to around 23VDC, a IRLB3036 hexfet (195Amps continuous, 60 Vds) with 2 millihohm resistance needs 10 Vgs or so., but gets going from logic levels.
Perhaps a pair of 10k resistors to split the voltage across the cap to about 11 VDC would slow charge the Gate over a few milliseconds and turn on the N fet after the cap is fully charged for inrush current control.
Edit: A parallel Drain-source 1 to 3 ohm resistor would start the charging of the cap