Hiya AJ
Speaking as someone who was in the position of flying training and biscuit throwing at the same time I would recommend giving it a go in the short term, say for a summer season. It will give you experience of just what the aviation world is like with regard to rosters, standbys, tech delays, angry pax, stop-overs and being done over by management :>.
Be careful not to attach too much importance on making connections that might lead to a flying job. In the airline I used to work for, many CCM's went on to become FO's but in more recent times they have started to focus more on Big School Graduates essentially closing the self improver way in. My curent employer only flys heavy metal so its not even an option.
All in all it could be a very positive experience, I certainly love it and have met loads of great and very helpful and supportive people. But most junior CCM jobs won't pay well at all and in the current climate it might not be as much of a benefit to you as it once was. But like I say it can be a really enjoyable start in the industry.
Just my opinion
Hope it helps
ETR