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You weren't very specific about which cargo carriers you would consider. There is a pecking order, just as with the pax carriers and everything in flying as in life. The lower rung will require less networking (or none at all), less flight time, a less stellar resume. The top cargo jobs require as good a resume and networking as the best legacy airlines. To put it in perspective, Fedex hired an astronaut a few years ago and the guy (told me) he was nervous about the interview process. I found that amusing and was glad that at least he was humble enough to be nervous about hiring at Fedex.
If you don't have a bunch of dependents (or maybe even someone who wishes you were around for longer periods) and you are building experience, consider the entry level cargo/charter operations. Just be mindful of the internal pitfalls of some of them. You don't want to stain your work history, you want to enhance it. Good luck.