Celt,
I hope you enjoy your visit here to the USA. Each state has its own unique beauty. It depends on what you're looking for. Perhaps a travel agent can help answer your questions.
I've visited all the 48 lower states at one time or another. For culture, the cities of New England (in the Northeast) have great history and architecture. Especially Boston, Philadelphia and New York.
For beauty -- if you love mountains, you could hardly do better than the great Rocky mountains. Criss-cross Colorado on Interstate 70 (east-west) and Interstate 25 (north-south).
If you love oceans/beachfront, go to the gulf coast of Florida, starting from St. Petersburg and heading south to Fort Meyers.
If you love lakes and fishing, you could come to my home state of Minnesota. But wait until the spring, it's d*mn cold here right now.
Some of the most beautiful cities to visit include San Antonio, Texas and Portland, Oregon.
If you're into cuisine, the best seafood comes from the east coast, and the best steak is in Montana and Nebraska, and New York is cosmopolitan -- you can get almost anything in the world there.