A question on specifying RC combinations in analog timer circuits
Electrolytics have quite high leakage currents so they don't make a good choice and they also have a poor tolerance that gives significant variability in the design of a time delay circuit. 

A commonly available non-polarized, 5% tolerance, surface mount type, I would consider is the X7R dielectric ceramic capacitor. In 1206 size you can get 10 uF 16V. If you are prepared to accept a 10% tolerance you can get a 47 uF in a 1210 case but it might only be 10 volts rated.

Worse dielectrics than X7R (such as X5R) yield higher values with wider tolerances and some change in capacitance with applied voltage thus making them unsuitable for decent timing applications.

So, depending on how accurate your timing needs are, I would make the assumption that 10 uF is the maximum (for half decent surface mount ceramic capacitors) and calculate the resistor based on this. If the resistance value is above 1 Mohm, I would start to worry about leakage currents from the pins on the chip and go another way entirely such as using a small MCU.