Let me suggest a nonsensical idea just for fun: let's found a scientific institute (staffed with volunteers and funded with donations, obviously) purposefully limited to conduct all their tasks (actual science, administrative chores, living) with stone age tools only. Or perhaps also with medieval and whatever they manage to build themselves using such.
It would be very curious to see what modern, educated, exclusively high-IQ (implied from them having managed to graduate in science) humans can achieve in a stone age setting.
Ideas of outcomes possible, experiments conductable and apparata buildable this way are welcome :-)