I have no clue what to ask for compensation as a new grad ICU nurse

Your HR should have some type of grid that calculates experience, education level to years as nurse to come up with basic calculation. ICU nurses are paid higher than floor nurses, but they should discuss that with you before hiring. You can give them a range if they don't have a set way to calculate pay. The organization I worked for had scale, to calculate from

Look at entry level now. You're a new RN so gaining experience is what's most important. The money will come later.