Radiation of rhodamine 6G is investigated in the ″photon boxes″ which are dyed polymeric samples in scattering cover of dielectric microparticles. These samples are multiple scattering media (MSM) in which interaction of the scattering microparticles with dye molecules is reduced considerably as compared to usually used MSM for random lasing (RL) what is important because of surface activity of these particles. In these samples coupled phenomenon of RL and stimulated Raman scattering (SRS) was observed. Features of SRS-RL phenomenon are identical to ones observed in other investigated MSM (vesicular films and suspension of microparticles) what allow applying these samples for obtaining of dye Raman spectra. SRS efficiency in ″photon boxes″ grows under pump increase and decrease of volume ratio of its internal area and active (excited) region. The results show that ″photon boxes″ of minimal size are promising for Raman spectra studying using SRS-RL phenomenon.