"may be say" is not correct and usable in written English.
You should use the verb 'say' instead. For example, "I may say something controversial, but I think it needs to be said".
For example, it may be, say, I'll be so angry at Patrick because he screwed me over in period one that I won't go along with the renegotiation.
Always perform a careful background check before you take a selfie; there may be, say, a guy sitting on the toilet doing a poo right behind you.
(For the anxious, aging yuppies, the equivalent may be, say, the Red Cat in Chelsea or an evening at the Village Vanguard).
"It gets cleaned thoroughly, very thoroughly," Grymek said, as if anticipating the next question about whether there may be, say, a wedding reception held in this very spot the next weekend.
In situations where minutes or seconds can mean the difference between life and death, some folks may be, say, feeling a twinge of chest pain at the start of dinner but not telling anybody about it until afterward.
Then you realise that while there may be, say, 100 stars here, maybe double that if you include the character actors, there are 6,000 neckbenders all aggressively jostling for canapés and warm wine.
