I used to be concerned about the INR drop if I (rarely) binged on greens. In fact, I scared myself into using Lovenox injections to protect me during the time my INR was near 1.0.
However, I finally realized that if this was a one time binge, and my diet and activities remained otherwise consistent, my INR would return to where it was in a few days.
I don't think the risk of developing a clot on the valve, and having it travel to brain or lungs is worth worrying about if the INR is back in range within a few days. According to a study by the Duke University Clinics, it takes about a week or more with INR below range, for a TIA or other negative events to occur.
NOBODY wants a TIA (unless they're suicidal and desire this outcome), but a day or two under range probably isn't much to worry about, as long as your dosing remains consistent.
FWIW - when I was hospitalized in November, the hospital said my INR was 6.1. (I doubt that it was). They gave me a shot of Vitamin K, and it dropped below 2. I was discharged before they messed around with Lovenox.
Although my INR WAS in danger range, I was confident that taking my normal daily dose of warfarin would bring my INR back into range. In three days, it did. What I'm trying to say is that a low INR for a day or two shouldn't be considered to be too big a deal - normal dosing should return it to normal before it becomes a health risk.