We report limits on the Galactic foreground emission contribution to the Background Emission Anisotropy Scanning Telescope (BEAST) Ka- and Q-band CMB anisotropy maps. We estimate the contribution from the cross-correlations between these maps and the foreground emission templates of an H${alpha}$ map, a de-striped version of the Haslam et al. 408 MHz map, and a combined 100 $mu$m IRAS/DIRBE map. Our analysis samples the BEAST $sim10^circ$ declination band into 24 one-hour (RA) wide sectors with $sim7900$ pixels each, where we calculate: (a) the linear correlation coefficient between the anisotropy maps and the templates; (b) the coupling constants between the specific intensity units of the templates and the antenna temperature at the BEAST frequencies and (c) the individual foreground contributions to the BEAST anisotropy maps. The peak sector contributions of the contaminants in the Ka-band are of 56.5% free-free with a coupling constant of $8.3pm0.4$ $mu$K/R, and 67.4% dust with $45.0pm2.0$ $mu$K/(MJy/sr). In the Q-band the corresponding values are of 64.4% free-free with $4.1pm0.2$ $mu$K/R and 67.5% dust with $24.0pm1.0$ $mu$K/(MJy/sr). Using a lower limit of 10% in the relative uncertainty of the coupling constants, we can constrain the sector contributions of each contaminant in both maps to $< 20$% in 21 (free-free), 19 (dust) and 22 (synchrotron) sectors. At this level, all these sectors are found outside of the $mid$b$mid = 14.6^circ$ region. By performing the same correlation analysis as a function of Galactic scale height, we conclude that the region within $b=pm17.5^{circ}$ should be removed from the BEAST maps for CMB studies in order to keep individual Galactic contributions below $sim 1$% of the maps rms.