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We present $^{12}$CO \textit{J=3$\rightarrow$2} maps of NGC 2976 and NGC 3351obtained with the James Clerk Maxwell Telescope (JCMT), both early targets ofthe JCMT Nearby Galaxy Legacy Survey (NGLS). We combine the presentobservations with $^{12}$CO \textit{J=1$\rightarrow$0} data and find that thecomputed $^{12}$CO \textit{J=3$\rightarrow$2} to $^{12}$CO\textit{J=1$\rightarrow$0} line ratio ($R_{31}$) agrees with values measured inother NGLS field galaxies. We compute the M$_{\rm{H_2}}$ value and find that itis robust against the value of $R_{31}$ used. Using \textsc{Hi} data from theThe \textsc{Hi} Nearby Galaxy Survey (THINGS) survey, we find a tightcorrelation between surface density of H$_2$ and star formation rate densityfor NGC 3351 when $^{12}$CO \textit{J=3$\rightarrow$2} data are used. Finally,we compare the $^{12}$CO \textit{J=3$\rightarrow$2} intensity with the PAH 8$\mu$m surface brightness and find a good correlation in the high surfacebrightness regions. We extend this study to include all 25 \textit{Spitzer}Infrared Nearby Galaxies Survey (SINGS) galaxies within the NGLS sample andfind a tight correlation at large spatial scales. We suggest that both PAH 8$\mu$m and $^{12}$CO \textit{J=3$\rightarrow$2} are likely to originate inregions of active star formation.

The James Clerk Maxwell Telescope Nearby Galaxies Legacy Survey IX: $^{12}$CO $J=3\to2$ Observations of NGC 2976 and NGC 3351