The court doesn’t ‘find’ cases. Cases are brought to the court.
In a round about way they do "find" cases, there have been plenty of cases that dealt with abortion that the Court could have used to overturn Roe.
Cases are “brought” the Supreme Court only if 4 out of 9 justices vote to hear the case. So, in a certain way, the justices do hand-pick cases that they want to hear and rule on. Don’t be fooled into thinking justices with certain agendas don’t get together and vote to grant cert to cases they want to have a say in.