We employ thermodynamic and electron spin resonance (ESR) techniques to elucidate the effects of quenched disorder on a ground state of \(s=5/2\) frustrated cubic antiferromagnet La \(_3\) Sb \(_3\) Mn \(_2\) O \(_{14}\) . We observe the development of multiple ESR lines for temperatures below 80 K. Concomitantly, the ESR linewidth exhibits a power-law increase, accompanied by an intriguing shift in resonance fields. These observations point to the occurrence of inhomogeneous magnetism. Additionally, ac magnetic susceptibility and magnetization data obey a scaling relation of \(\chi '(H,T)\) and M(H, T) in \(\mu _{\textrm{B}}H/k_{\textrm{B}}T\) with the scaling exponent \(\alpha =0.53\) . This scaling behavior alludes to the formation of a random-singlet-like state and the presence of abundant low-lying excitations. Our results highlight the concerted interplay of strong disorder and frustration to stabilize a putative random-singlet state even in classical and high-dimensional spin systems.