I would suggest this: [Carolina Gold (for the tangerine gene) x a known high crimson gene variety such as Tasti-Lee] F1 x Caro Rich (for the high beta carotene).
Then select the F2s showing the deep reddish orange colors characteristic of beta carotene conversion of lycopene. I believe the tangerine gene still will be lurking, so then in the F3s taken from the beta-converting F2s, start selecting for the segregating tangerine expressions (the ones that are colored like the Carolina Gold parent).
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