My application demands a situation as given in attachment.
My doubt is whether the instrumentation amplifier can drive this much bigger capacitive load or not.
I am not afford to use bigger resistance at the output of IA(instrumentation amplifier).
Please do reply.
I do not think you will have problems with stability when driving this load. The series resistor you're using is large enough to keep that circuit stable. The challenge you might face however, is driving such a big capacitive load, as it will require more work from the amplifiers to move the output voltage around.