Advantages of a cascode
Q2 will not suffer from the early effect as it is being driven by the current from Q1 so th effects will be negligible.

All that will happen if the Vce increases is that the Vbe will drop slightly and so increase the voltage on Q1 by a few millivolts.

The overall effect for the cascade will be greatly reduced by many orders of magnitude.

Have you any calculations or measurements that indicate your circuit still suffers from the Early effect.

As @null mentions the Miller effect is also reduced.

This type of circuit is commonly used in video amplifiers or CRT oscilloscope output stages where a high voltage swing with wide bandwidth is needed.