First off, good luck on NCLEX!! Do plenty of Q's, thats the best way to prepare!
About the ICU, I am a new grad as well. I have a BSN and I have taken/passed boards. Throughout my last semester of school, I KNEW I wanted to work in the ICU. I knew of several girls that worked in the ICU right out of school. Yes, they are doing fine too. I had my heart set on it. However, the closer I got to graduation, the more terrified I became. Now mind you, I have several years CNA experience and I graduated top of my class and I probably would have functioned OK in the ICU, I decided to go with some general med surg and get my feet wet.
You say you have years experience as an LPN in LTC.. That is not to be discounted, however, I would suggest "learning to be an RN" on a med/surg unit first. Maybe within the same organization that way, by the time you are ready to transfer, you have a good hold on the facility, the docs, the policies, and way things flow. I am very happy that I did not jump right into the ICU and that I am going to get a good rounded experience from the med surg unit. Then in 6 months, if I decide to transfer, I will feel that much more confident that I "know the flow" of the facility. It will make the already stressful introduction to the ICU not as bad.
Whatever you decide to do, good luck!