Hi, I would suggest for you to lodge another EOI for a subclass 189 too if your nominated skill is included in the MLTSSL list; since you already have 60 pts without the state nomination. you might have a higher chances of getting the visa faster that way. anyway, there is no limit in the number of EOI to submit.
Based on my experience, NSW processing time is extremely fast, they have approved my application for nomination in just 3 working days. SkillSelect will also send their invitation to apply for a VISA in that same day that you got nominated and approved by NSW. just note that once you get the invitation to apply for a VISA, you will only have 60 days to submit in which you need to pay the VISA fee. my suggestion is for you to start compiling the papers required and the VISA fee at this time, just in case.