Unless your client specifically requests (or rather demands) to be referred to by their complete name I would suggest simply using "Holiday Inn". Google's KeyWord tool shows the following traffic for the terms:
Holiday Inn and Suites - 1900 searches/month
Holiday Inn & Suites - 590 searches/month
Holiday Inn - 1 million searches/month
By adding "and Suites" or "& Suites" you are diluting your main focus "Holiday Inn". Literally 99.9% of your traffic is from "Holiday Inn". I would highly recommend dropping the rest. If you have to include it, I would use the text "and" version. Not only does it have more exact matches but when converting the text to a URL software will often replace the & symbol with the letter "a". Holiday Inn & Suites becomes /holiday-inn-a-suites which is less desirable.