We have a lot of blue sky physics PhDs doing just that right now, and they're not getting too far since the theory is massively under-determined given our lack

We have a lot of blue sky physics PhDs doing just that right now, and they're not getting too far since the theory is massively under-determined given our lack of data. Re: "unlikely to be useful," consider that every other major collider exploring new energy levels so far has found a new fundamental particle.