Capacitors getting too Hot
Don't use polarized capacitor because they will, in this circuit be fed an AC voltage. It's quite simple to prove. Think about the inductor - it must have an average voltage of zero across it. If it didn't then infinite current would flow. So based on this fact, the voltage at the drain of the mosfet MUST rise up to nearly twice the supply rail and back down to nearly 0V. Hence you have AC applied to a polarized capacitor. If you had good power rails you could put the polarized capacitors from drain to 0 volts, but there's another problem.

The ESR (effective series resistance) of an electrolytic capacitor (if that is what is being used) is quite high and this will ruin the Q factor expectations you may have i.e. the circuit is very inefficient at delivering a magnetic field from the inductor.