See first to get the exemption under 54F on long term capital gain from sale of house property the condition is :
The assessee invests the net sale consideration of above mentioned assets to construct a residential house within 3 year of the sale of the asset or purchases an already built house within one year before or two years after the sale of the above mentioned asset.
So now since you have already sold you need to purchase a property within 2 years from the date of such sell or in under construction property 3 years to complete construction.
See now days after ongoing builder buyer disputes delay in project I would suggest to to buy a newly constructed flat in whom OC is received. By flat from builder in such society there will no transfer charge and there will be no risk.
Further adding your father can purchase it in.your name and still he will get the exemption as held by ITAT mumbai purchase of property in name of near family spouse childrem the exemption of 54F is available.