The recent discovery of enormous Lyα nebulae (ELANe), characterized by physical extents >200 kpc and Lyα luminosities >1044 erg s−1, provides a unique opportunity to study the intergalactic medium and circumgalactic medium in distant galaxies. Many existing ELANe detections are associated with local overdensities of active galactic nuclei (AGN). We have initiated a search for ELANe around regions containing pairs of quasi-stellar objects (QSOs) using the Palomar Cosmic Web Imager. The first study of this search, Cai et al., presented results of ELAN0101+0201, which was associated with a QSO pair at z = 2.45. In this study, all targets residing in QSO pair environments analyzed have Lyα detections, but only one of the four targets meets the classification criteria of an ELANe associated with a QSO pair region (z ∼ 2.87). The other three sample detections of Lyα nebulae do not meet the size and luminosity criteria to be classified as ELANe. We find kinematic evidence that the ELANe J1613 is possibly powered mostly by AGN outflows. The analysis of circularly averaged surface brightness profiles of emission from the Lyα regions shows that the Lyα emission around z ∼ 2 QSO pairs is consistent with emission around individual QSOs at z ∼ 2, which is fainter than that around z ∼ 3 QSOs. A larger sample of Lyα at z ∼ 2 will be needed to determine if there is evidence of redshift evolution when compared to nebular emissions at z ∼ 3 from other studies.