Probably, but it depends on the specific Class C. Engine size is not a particularly important factor.
An SRX is fairly heavy at around 4500 lbs, so the rig needs a tow capacity of 5000 lbs or more. Most late models C's have that much, but you need to check the hitch receiver rating as well as the Max tow capacity to verify that. If Max Tow is not listed, subtract coach GVWR from GCWR to get a lower limit. If that is at least 5000, you are probably good. If less, then "maybe" and we need to discuss in more depth.