  We report thermoelectric properties of Ir$_{1-x}$Rh$_x$Te$_2$ ($0 \leqslant x
\leqslant 0.3$) alloy series where superconductivity at low temperatures
emerges as the high-temperature structural transition ($T_s$) is suppressed.
The isovalent ionic substitution of Rh into Ir has different effects on
physical properties when compared to the anionic substitution of Se into Te, in
which the structural transition is more stable with Se substitution. Rh
substitution results in a slight reduction of lattice parameters and in an
increase of number of carriers per unit cell. Weak-coupled BCS
superconductivity in Ir$_{0.8}$Rh$_{0.2}$Te$_2$ that emerges at low temperature
($T_c^{zero}$ = 2.45 K) is most likely driven by electron-phonon coupling
rather than dimer fluctuations mediated pairing.
