To fly solo in the US you'll need to get your licence validated and then whilst over there you will need to do a bi-annual check flight, for just a holiday I think it would be too much hassle. If I were you I'd follow the other suggestions and just get a FI to go with you and enjoy the scenery. Although you won't be able to claim P1 as someone suggested! You won't have a valid licence and so can't be PIC of the a/c!