from OED
In phr. I should cocoa (Rhyming slang), I should say so. Freq. used ironically.
1936 J. Curtis Gilt Kid ii. 23 She don't do so bad, I should cocoa.
1964 Listener 31 Dec. 1053/2 _I should cocoa!' I retorts._ _They won't get me in the Kate---not in a million years they won't.'
1965 J. Porter Dover Three xi. 133 _She says you paid her a pound a week for the best part of nine months,' Dover went on. Mrs. Gomersall laughed scornfully. _I should co-co!' she chortled.
1967 O. Norton Now Lying Dead ii. 22 What me?_ I should coco. Sheila'd think I was off my head.