Understand your situation and we have alternative solutions for you. We can help you to incorporate your own company in Singapore and apply Employment Pass (EP) under the company so you may continue to stay in Singapore. You may read more information on this article: https://www.paulhypepage.com/employment-pass-company-incorporation-singapore/
However, as your S Pass is expiring, it is best if we get in touch so we can better understand your situation and assist you. Do feel free to contact us for more information. We look forward to hearing from you soon!