Well I am giving my frame to my little brother so we can both ride fixed this summer and because the frame suites him better

I have a budget of maximum 300$
I would like something light
Steel or aluminium doesn't mater
I don't need racks or anything related to a commuter but I use my bike to commute
bb English standard threading

Frame size would be between 56 and 58

I hope you can help me find something that would fit my needs