Are you in Fenland? If so, Cambridgeshire helpfully have a document on their website saying which schools still have places. There are places at Alderman Jacobs, Beaupre, Benwick, Burrowmoor, Coates, Elm, Friday Bridge, Glebelands, Guyhirn, Kingsfield, Leverington, Manea, Murrow, New Road, Orchards, Park Lane, Peckover, Thomas Eaton and Townley. Assuming this is still up to date, if you apply to any of these schools they have to offer a place for your child.
As you have already appealed you cannot appeal again so, unless you are willing to home educate or wait until the start of term following your daughter's fifth birthday, taking a place at one of these schools (or another school with places available) is really your only option.
I understand your comment that distance shouldn't matter but, as others have said, if the school only has space for 60 and there are 145 children in the catchment area applying for places there is no way the school can admit them all. They therefore have to have decide which children will get in. Whilst a few LAs use lotteries, distance from school is by far the most common tie breaker.