I've recently been approached by an employer that has denied my job application some time ago due to incompatible schedules. I understand they're still looking for a person to fill that position, or maybe outsource the job instead, because they'd like me to analyze their systems and write a project proposal to address their IT issues.
Now I believe I have proven myself as a specialist to them, since they came up with that offer. However, I've never written a project proposal, but I have a pretty good idea of what it should have in general and in their specific case.
Should I agree to the job that I have no prior experience with? If so, what should I expect to charge them, considering? I know they are a small medical startup, and they also asked me to give them an estimate.
Thanks in advance.