Linear thermal expansivity (α, 1–300 K), heat capacity (C_p, 1–108 K), and electrical resistivity (ρ, 1–300 K) measurements are reported for single grain i-Al_61.4Cu_25.4Fe_13.2 quasicrystals as a function of sample processing. While ρ(T) is sensitive to sample treatment, both C_p and α are relatively insensitive (to a few percent) except at the lowest temperatures (below 4 K), where an inverse correlation between ρ and the electronic C_p coefficient γ appears to exist. Dispersion effects (deviations from Debye-like behavior) in both C_p and the lattice Grüneisen parameter Γ are large and comparable with those for single grain i-Al₇₁Pd₂₁Mn₀₈quasicrystal and its Al₇₂Pd₂₅Mn₀₃ approximant [Phys. Rev. B 65, 184206 (2002)]. Since the 0-K Debye temperature [Θ₀=536(2)K] is in reasonable agreement with that from 4-K elastic constants [548(8) K], a previous postulate for AlPdMn that these large dispersion effects are associated with high dispersion lattice modes in off-symmetry directions also appears to apply to i-Al-Cu-Fe. A comparison with other C_p data suggests that the major effects of sample treatment (and composition) are reflected, with a few exceptions, in the values of γ, with remarkably similar lattice contributions.