I wonder if there is a model that goes someway towards addressing both of these:
1) One month free. No credit card required.
2) Another month free (with more 'credits' or whatever), if during that first month you supply your credit card details. You will automatically be renewed if you don't cancel, but are free to do so (and will get reminders).
In this way, people get to try the product without alarm bells. They get something in return for demonstrating their interest, by way of more free time and you giving them access to more 'credits' (monitor more servers, look at more profiles, whatever it is).
This helps overcome their inaction, but avoids the alarm bells. Not sure how well it'd work but would be interesting to see.