At your level, there are always the international executive "headhunter" agencies - Heidrick Struggles and that level - though they don't accept applications from job candidates as such. Technically, you're supposed to come to their attention but there are ways of "flagging them down" if you're someone they might want to know of.

You might also want to look at international publications like the Economist. They generally post several pages of high level job ads each week, some of which are in the US (often NYC or Washington DC, but not always) with international agencies where you wouldn't need a visa. Some of the job postings are through large international search companies which might also be of interest in your search.
Cheers,
Bev