Oil cooler info - update
OK, finally did some parts research.
Oil pan for LS3 in SS (sedan), Camaro, and L77 in Caprice are the same PN.
SS & Caprice share the same oil cooler, located toward rear, close to filter, and block mounted.
Camaro shares oil cooler with CTS-V (LSA) - forward mounted, on oil pan.
Part Numbers:
12640748 - Oil pan on SS/Camaro (LS3) and Caprice (L77)
12606576 - Oil cooler - forward mount, Camaro/CTS-V (quite pricey at $595 list - $357 dealer cost, plus the additional parts required to make it work)
92246966 - Oil cooler - rear mount, as used on SS/Caprice
Several other items required - piping, mounting hardware, etc. TBD
This means that the mounting bosses seen on the SS oil pan (same PN as Camaro LS3) will allow mounting of the Camaro/CTS cooler, which locates further forward, POSSIBLY providing room for the header tube bundle to pass and clear the cooler. It's not certain that the Camaro/CTS cooler will actually fit in the space, as the CTS frame/cradle is shaped somewhat differently in this area--do not know about Camaro, but it is more likely to be similar to SS & Caprice.
IF the Camaro cooler will fit & clear frame, engine mounts, etc, the coolant plumbing would still need to be figured out.
Here's a picture of American Racing Headers installed on a non-LS3 Caprice (not a police vehicle, either) in the Middle East,
with no oil cooler - really hard to say with any confidence that the Camaro cooler will even fit the SS/Caprice chassis, from this photo: