The most common and most likely answer to this crossword clue is the 9 letter word STATESIDE
I've seen this crossword clue in The Times
S
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More clues leading to the result STATESIDE
Buddy explains!

The straight part
We know that "heading towards America" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case heading towards america = stateside.The cryptic/wordplay part
In cryptic crossword there's often an wordplay/cryptic part as well.This part involves a more complex hint, such as an anagram, homophone, hidden word, etc.
Sadly, We don't have an explanation for this specific crossword clue yet.
What does STATESIDE mean?
STATESIDE adjective- (chiefly outside USA) In the United States.
- (Alaska) In the 48 contiguous states.
- (chiefly outside USA) In or to the United States, especially the lower forty-eight.
- (Alaska) In or to the 48 contiguous states.