Variation of doggy position for non-deep penetration?

The doggy position is usually used for deep penetration.

But are there any variations on the contrary for non-deep penetration if the guy is too big for regular doggy?

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Edit.

Positions that are potentially used to stimulate the G-spot are not suitable for me (like prone and spooning). They give me the feeling of putting pressure on my bladder and it make me want to pee.