Any process that modulates the frequency, rate or extent of extraocular skeletal muscle development. Extraocular skeletal muscle development is the process whose specific outcome is the progression of the extraocular skeletal muscle over time, from its formation to the mature structure. The extraocular muscle is derived from cranial mesoderm and controls eye movements. The muscle begins its development with the differentiation of the muscle cells and ends with the mature muscle. [ GOC:mtg_muscle ]