NHPUC agrees with your 2005 rate. But only for Eversource Residentail rates. It doesn't compile the rate from the other utilities and combine it in a pro-rated format to come up with the State Residential average.
https://www.puc.nh.gov/sustainable%2...te%20Info.html
Balletopedia did a study due to energy being such a strong political football during that era (probably will do another). It compiled Residential rates on a pro-rated format across State utilities.
https://ballotpedia.org/Historical_s...tricity_prices