Many beyond the Standard Model (BSM) theories suggest the existence of more fundamental scalar fields and associated Higgs bosons than previously thought, the standard model Higgs being the lightest and most easily discovered. As independently testing each of the many heavy Higgs theories would be inefficient, in this talk, I describe the use of an alternative, model-independent, generic approach to model exclusion and validation in the search for a generic heavy Higgs boson theorized to have both 4-dimensional (dim-4) and effective 6-dimensional (dim-6) interactions with the Standard Model particles. If the generic heavy Higgs is connected with BSM physics at the scale of a few teraelectronvolts (TeV), we will see an excess beyond Standard Model predictions in several observables at high transverse momentum. I will discuss the role of the dim-4 and dim-6 operators at play, before expounding upon the simulations used to characterize generic heavy Higgs production in proton-proton collisions and the corresponding Large Hadron Collider (LHC) data. Channels, signal regions, and control regions are defined within an event data model analysis framework to maximize the significance of any potential result. In addition, cuts are made on key variables, such as the invariant mass of the hadronic W boson in the same-sign dilepton signal region and the invariant mass of the heavy Higgs in the trilepton signal region in order to separate the known physics from any potential new physics. If discovered, a generic heavy Higgs would validate a key part of many BSM models and help to focus such theoretical work, while also founding an entirely new area of research for experimentalists.