I know the body style changed, but are '66 and '67 a-body 22" radiators exchange?

I bought this http://www.championradiators.com/plymouth-barracuda-22-inch-small-block-radiator-1966-1969 (EC2374) but the inlet and exit are on the wrong side (new water pump style).

Will this one work: http://www.championradiators.com/Plymouth-Barracuda-17%22-aluminum-radiator-1967-1969 (CC6769).

It is for a stock '66 barracuda 273 2bbl auto. Just looking for driver quality... Would rather not have to drill holes or cut anything to make it work. Also would not want to have the orig recorded as I have already done that once and it only lasted a few years.

Thanks, in advance!