Hot-plug protection: series resistor thermal considerations
First of all it should be a flame-proof resistor. Based on a maximum 250 mA load 1 ohm would be 250 mV * 250 mA = .0625 watts, so 2 ohms is 125mW.

Usually one would try for 4.7 ohms or 10 ohms, but that would be a through-hole resistor, so it looks like 2 ohms is your limit for a 0603 size resistor.

You can stack resistors, such as two 4.7 ohms stacked, but that is your finite limit.