Surface coatings on single-walled carbon nanotubes (SWCNTs) play key roles in their properties and applications. One of the most intriguing coatings is single-stranded DNA, which is known to helically wrap individual nanotubes with affinities that depend on oligonucleotide sequence and SWCNT structure. To better understand such selective interactions, we use fluorescence spectroscopy to monitor the kinetics of ssDNA displacement by sodium deoxycholate (SDC), a common surfactant. This displacement causes distinct changes in the wavelength and intensity of structure-specific SWCNT near-IR emission peaks. By quantifying the kinetics of these changes as a function of oligonucleotide sequence, oligonucleotide length, SWCNT structure, sample temperature, and SDC concentration, we have extracted sets of values for the activation enthalpy ∆H^≠, activation entropy ∆S^≠, and activation Gibbs free energy ∆G^≠ for displacement of d(GT)_n, with n ranging from 15 to 30. We find that rates of displacement decrease for longer oligonucleotides and drop sharply as nanotube diameter increases from 0.75 to 0.97 nm. These increases in ∆G^≠ are attributed to increases in -T∆S^≠ that exceed the decreases in ∆H^≠ over this range. Remarkably, the kinetics also reveal a strong power-law dependence (up to 6^th order) in SDC concentration, indicating a highly cooperative process for ssDNA displacement. We will present experimental results and a proposed mechanistic interpretation.