Braley played his early rugby with St Mary's Old Boys RFC. His first taste of senior rugby came when he made his full debut at the age of 17, playing in two British and Irish Cup games for his home city club Bristol Rugby against Cornish Pirates and Ayr.
Braley has been an England age group international from U16 level upwards where, selected for England U20s, his team won the 2013 IRB Junior World Championship with a 23-15 win over Wales in the final held at Vannes, France. He also skippered the successful defence of England U20s Junior World Championship at the 2014 IRB Junior World Championship.
On 18 June 2014, Braley left Bristol to sign for Gloucester Rugby from the 2014-15 season.
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