You can make use on tables privileges (assuming once you have set the relevant privileges to block insert/delete, and you should not update the privileges anymore, however, any user has the privileges can override the privileges again)
insert the one-and-only-one record first
then add in the privileges by disable INSERT, UPDATE, DROP
in column table_priv
mysql> desc tables_priv;
+-------------+-------------------------------------------------------------------------------------------------------------------------+------+-----+-------------------+-------+
| Field | Type | Null | Key | Default | Extra |
+-------------+-------------------------------------------------------------------------------------------------------------------------+------+-----+-------------------+-------+
| Host | char(60) | NO | PRI | | |
| Db | char(64) | NO | PRI | | |
| User | char(16) | NO | PRI | | |
| Table_name | char(64) | NO | PRI | | |
| Grantor | char(77) | NO | MUL | | |
| Timestamp | timestamp | NO | | CURRENT_TIMESTAMP | |
| Table_priv | set('Select','Insert','Update','Delete','Create','Drop','Grant','References','Index','Alter','Create View','Show view') | NO | | | |
| Column_priv | set('Select','Insert','Update','References') | NO | | | |
+-------------+-------------------------------------------------------------------------------------------------------------------------+------+-----+-------------------+-------+
8 rows in set (0.00 sec)