This has been "debated" a little bit and other members have advised they have called the NHMP for clarification. Based on my understanding of that...
If you are a resident of a state that recognises the online course as the same as a proctorred course then it is legitimate for you, due to reciprocity rules. However, the text of the NH statute doesnt actually say this so you might get hassled by someone who isnt clear on the nuances of the situation.
Here is a thread where most of the questions seem to have been raised...
http://www.winnipesaukee.com/forums/...ghlight=NASBLA
If you would like more opinions on the subject just scroll through a couple pages of posts and watch for related subject lines. It will be simpler than doing a search. I'd suggest getting the classroom certificate because the discussion and feed back is a very useful learning tool also.
Good luck!