There are many resources across the web that give helpful information about the state high points. The foremost authority would be the Highpointers Club. Another great resource is Summit Post, where you can search for any mountain (and any state highpoint) and get detailed information about location, access, and difficulty.
The Mountain-Weather site is another great resource. It shows weather conditions and forecasts at varying elevations and different times of the day. For example, it will show the wind speed and precipitation forecast at 10,000 feet on Mt. Whitney. This is especially helpful for the higher elevation mountains out west.
Interesting and Helpful
There are some additional blogs and sites that I view occasionally. The countryhighpoints.com site showcases two brothers who have successfully completed all 50 state highpoints. The Summit Chicks are two ladies that have a blog with summit reports, gear reviews, and tips. Together, they’ve visited most of the US state high points.
Alan Arnette is a serious mountain climber. His climbing projects are centered around raising awareness about Alzheimer’s disease. He has climbed Mt. Everest, K2, and attempted Denali. As such, the site he has put together has a lot of helpful information as well as interesting tales of high-altitude mountain climbing.