Sql-server – Disabled SSL on SQL Server, now connection fails

I have a customer that is worried about the latest SSL vulnerability POODLE. They have a utility (IIS Crypto 1.4) that disables SSL 2.0-3.0 on the servers they run it on. They have disabled SSL on both the server my service is running and the remote SQL Server. The SQL connection string is pretty standard:

Server=myServerIPAddress;Database=myDataBase;User Id=myUsername;Password=myPassword;

When my service starts it tries to perform a Linq to SQL query and gets the error:

A connection was successfully established with the server, but then an error occurred during the pre-login handshake. (provider: TCP Provider, error: 0 – An existing connection was forcibly closed by the remote host.)

If they re-enable SSL on the SQL Server it works fine. My program is a Windows Service built on .NET 3.5. What is the cause of this error, and where can I make adjustments so my service will run?

edit:
below is the stacktrace that is spit out by my program when it tries to load

System.Data.SqlClient.SqlException: A connection was successfully established with the server, but then an error occurred during the pre-login handshake. (provider: TCP Provider, error: 0 - An existing connection was forcibly closed by the remote host.)
at System.Data.SqlClient.SqlInternalConnection.OnError(SqlException exception, Boolean breakConnection) 
at System.Data.SqlClient.TdsParser.ThrowExceptionAndWarning(TdsParserStateObject stateObj) 
at System.Data.SqlClient.TdsParser.ConsumePreLoginHandshake(Boolean encrypt, Boolean trustServerCert, Boolean& marsCapable) 
at System.Data.SqlClient.TdsParser.Connect(ServerInfo serverInfo, SqlInternalConnectionTds connHandler, Boolean ignoreSniOpenTimeout, Int64 timerExpire, Boolean encrypt, Boolean trustServerCert, Boolean integratedSecurity, SqlConnection owningObject) 
at System.Data.SqlClient.SqlInternalConnectionTds.AttemptOneLogin(ServerInfo serverInfo, String newPassword, Boolean ignoreSniOpenTimeout, Int64 timerExpire, SqlConnection owningObject) 
at System.Data.SqlClient.SqlInternalConnectionTds.LoginNoFailover(String host, String newPassword, Boolean redirectedUserInstance, SqlConnection owningObject, SqlConnectionString connectionOptions, Int64 timerStart) 
at System.Data.SqlClient.SqlInternalConnectionTds.OpenLoginEnlist(SqlConnection owningObject, SqlConnectionString connectionOptions, String newPassword, Boolean redirectedUserInstance) 
at System.Data.SqlClient.SqlInternalConnectionTds..ctor(DbConnectionPoolIdentity identity, SqlConnectionString connectionOptions, Object providerInfo, String newPassword, SqlConnection owningObject, Boolean redirectedUserInstance) 
at System.Data.SqlClient.SqlConnectionFactory.CreateConnection(DbConnectionOptions options, Object poolGroupProviderInfo, DbConnectionPool pool, DbConnection owningConnection) 
at System.Data.ProviderBase.DbConnectionFactory.CreatePooledConnection(DbConnection owningConnection, DbConnectionPool pool, DbConnectionOptions options) 
at System.Data.ProviderBase.DbConnectionPool.CreateObject(DbConnection owningObject) 
at System.Data.ProviderBase.DbConnectionPool.UserCreateRequest(DbConnection owningObject) 
at System.Data.ProviderBase.DbConnectionPool.GetConnection(DbConnection owningObject) 
at System.Data.ProviderBase.DbConnectionFactory.GetConnection(DbConnection owningConnection) 
at System.Data.ProviderBase.DbConnectionClosed.OpenConnection(DbConnection outerConnection, DbConnectionFactory connectionFactory) 
at System.Data.SqlClient.SqlConnection.Open() 
at System.Data.Linq.SqlClient.SqlConnectionManager.UseConnection(IConnectionUser user) 
at System.Data.Linq.SqlClient.SqlProvider.get_IsSqlCe() 
at System.Data.Linq.SqlClient.SqlProvider.InitializeProviderMode() 
at System.Data.Linq.SqlClient.SqlProvider.System.Data.Linq.Provider.IProvider.Execute(Expression query) 
at System.Data.Linq.DataQuery`1.System.Collections.Generic.IEnumerable<T>.GetEnumerator() 
at System.Linq.Buffer`1..ctor(IEnumerable`1 source) 
at System.Linq.Enumerable.ToArrayTSource(IEnumerable`1 source)