Getting Identity values to use as FK in an INSTEAD OF trigger

I have a series of updateable views we are exposing to end users as the interface for a back end process.

One of these views references two tables and requires an INSTEAD OF trigger for UPDATE and INSERTs.

The structure of the tables is (greatly simplified):

Claim
(DataRowID bigint IDENTITY PRIMARY KEY
,)

ClaimExtended
(ClaimDataRowID bigint FOREIGN KEY references dbo.Claim(DataRowID) NOT NULL
,)

My original plan was to do this in the trigger like so:

CREATE TRIGGER [dbo].[MyTrigger] ON [dbo].[MyView]
INSTEAD OF INSERT
AS

DECLARE @IDLink TABLE
    (RowID int
    ,ClaimDataRowID bigint)

DECLARE @Inserted TABLE
    (RowID int identity (1,1) NOT NULL
    ,)

INSERT INTO
    @Inserted
    ()
SELECT
    ()
FROM
    Inserted

INSERT INTO
    Claim
    ()
OUTPUT
    I.RowID
    ,inserted.ClaimDataRowID
    INTO
        @IDLink (RowID, ClaimDataRowID)
SELECT
    ()
FROM
    @Inserted I

INSERT INTO
    ClaimExtended
    (ClaimDataRowID,
    )
SELECT
    C.ClaimDataRowID,
    
FROM
    @Inserted I
INNER JOIN
    @IDLink C
        ON C.RowID = I.RowID

The OUTPUT clause here is not working, however (Multi-part identifier I.RowID could not be bound) I'm assuming because I can't reference the source table in an INSERT OUTPUT clause.

What other method could I use here besides making the view a table? For other reasons this needs to be a VIEW and the underlying tables are pretty much set in stone.

Tables:

CREATE TABLE dbo.Claim
(
    DataRowID   bigint IDENTITY NOT NULL,
    ClaimColumn integer NOT NULL,

    CONSTRAINT PK_Claim
        PRIMARY KEY CLUSTERED (DataRowID)
);
GO
CREATE TABLE dbo.ClaimExtended
(
    ClaimDataRowID  bigint NOT NULL,
    ExtendedColumn  integer NOT NULL,

    CONSTRAINT PK_ClaimExtended
        PRIMARY KEY CLUSTERED (ClaimDataRowID),

    CONSTRAINT FK_ClaimExtended_Claim
        FOREIGN KEY (ClaimDataRowID)
        REFERENCES dbo.Claim (DataRowID)
);

View:

CREATE VIEW dbo.MyView
WITH SCHEMABINDING
AS
    SELECT
        c.DataRowID,
        c.ClaimColumn,
        ce.ExtendedColumn
    FROM dbo.Claim AS c
    JOIN dbo.ClaimExtended AS ce ON
        ce.ClaimDataRowID = c.DataRowID;

Instead-of trigger:

CREATE TRIGGER trgMyView_IOI
ON dbo.MyView
INSTEAD OF INSERT
AS
BEGIN
    SET NOCOUNT ON;
    SET ROWCOUNT 0;

    DECLARE @ExtendedRows AS TABLE
    (
        ClaimDataRowID  bigint PRIMARY KEY, 
        ExtendedColumn  integer NOT NULL
    );

    MERGE dbo.Claim AS c
    USING INSERTED AS ins ON 1 = 0
    WHEN NOT MATCHED THEN 
        INSERT (ClaimColumn)
        VALUES (ins.ClaimColumn)
    OUTPUT
        INSERTED.DataRowID,
        ins.ExtendedColumn
    INTO @ExtendedRows 
        (
            ClaimDataRowID,
            ExtendedColumn
        );

    INSERT dbo.ClaimExtended
        (ClaimDataRowID, ExtendedColumn)
    SELECT
        er.ClaimDataRowID,
        er.ExtendedColumn
    FROM @ExtendedRows AS er;
END;

Example usage:

INSERT dbo.MyView
    (ClaimColumn, ExtendedColumn)
VALUES
    (1000, 2000),
    (1001, 2001);
GO
SELECT
    mv.DataRowID,
    mv.ClaimColumn,
    mv.ExtendedColumn
FROM dbo.MyView AS mv;

Output:

StackExchange Database Administrators Q#34258, answer score: 8