It sounds like you should move the list of names to a table. You're Java form could select the data from the table.
And, because the data can change, it will be better to update the table than to change the check constraint. You can change the check constraint to a foreign key constraint too.
You can also find the check-constraint definitions in INFORMATION_SCHEMA.CHECK_CONSTRAINTS
. The expression is in the CHECK_CLAUSE
column; and, you'll have to extract the values from the expression.