Controlling the structural and electronic properties of solids with THz lasers has opened up tantalizing prospect in ultrafast materials science. In contrast to optical frequencies it enables mode-selective driving of vibrational excitations relevant for the establishment of various broken-symmetry states. In particular so-called light-induced superconductivity has been observed in several materials ranging from cuprates to alkali-doped fullerenes. Motivated by experiments on driven infrared active molecular vibrations in organic materials, I will discuss the effect of a finite frequency ω modulation of on-site energies in the Hubbard model with a checkerboard spatial periodicity. In particular we focus on the strong-coupling limit U >> t of the doped Hubbard model where the effective t-J Hamiltonian is applicable and super-exchange pairing can occur. Through a Floquet analysis, in the physically relevant regime where U >> ω and ω >> t, J, we show that this driving causes a substantial suppression of the electronic hopping t, while leaving the bare super-exchange interaction J unchanged. This suggests that electrons can be slowed down enough in the out-of-equilibrium state to allow the normally subordinate super-exchange interaction to become dominant, and thus favour nearest-neighbour pairing. I will show that this leads to a compelling new pathway to engineering light-induced superconductivity in strongly correlated quantum materials.