Hi,
1) I'm regret to hear your situation. There is no quick solution to solve your immediate problem.
 2) As you are not classified as an orphan because there is no evidence to show both your parents passed.
 3) Under the current policy, a single citizen can only own an HDB flat by reaching 35 years and older.
 4) You have to find another single to help you to be eligible to keep the flat even though this was solely left by your dad.
 5) The single can be non-related citizen, non-married or divorced, 21 years and older, or your future spouse (must produce marriage within 3 months after purchase).
 6) At the meanwhile, try to appeal to HDB to either give longer grace period, otherwise would be to sell within 6 months, or give exception case for you to live alone there.
 7) You might need to approach your MP for a stronger endorsement if the initial appeal fail.
All The Best!!!
Hope the above answers your main concerns, but if there are more queries, please feel free to contact me at 
90110636 
 or email: ling.ck7@gmail.com if more information is needed.
 I'll be glad to assist.
Best regards
 Ling CK 
90110636 
 ling.ck7@gmail.com
 https://www.linkedin.com/in/ckling/
 https://agents.huttonsgroup.com/R056727F/
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