Recently my wife and I travelled to and from the USA (LAX and GUM) and my wife's passport (Japanese) is in her maiden name with a notation on the second page of the change in surname. Tickets were booked in her married name and had no major issues. Not quite the same situation though, I realise.

Only small hurdle was that we couldn't use the automated machines for entry at LAX because of the mismatch, but easily sorted out at the manned counter.

Generally, I would suggest going with the name that gets scanned from the passport, i.e. "Suzuki" in your case, as that way all automated systems will match. But you should be OK either way. The only problem is that some people (at check-in counters etc.) need to have the reason for the mismatch pointed out to them, which can take time depending on who you get.