Just untick the max number of error log files so they aren't recycled. Then create a SQL agent task that deletes log files older than 1 year using powershell or cmd.

Unticking the option generates this code:

USE [master]

GO

EXEC xp_instance_regdeletevalue N'HKEY_LOCAL_MACHINE', N'Software\Microsoft\MSSQLServer\MSSQLServer', N'NumErrorLogs'

GO