The combination of the 5th Amendment to the US Constitution + The initial Constitution ban on bills of Attainder (for both states and the federal government) + the lack of US Constitution specification on how someone could become a slave would have been used to declare slavery unconstitutional in the 1790s had we not had an activist judiciary.
The Federal Constitution had no need to specify as how someone became bound to a term of service would be defined under State law, not Federal. Moreover, you show an appalling lack of knowledge of the scope and purpose of a bill of Attainder.