The most common and most likely answer to this crossword clue is the 6 letter word LATVIA
I've seen this crossword clue in Independent
L
A
T
V
I
A
More clues leading to the result LATVIA
- Got back trouble carrying a box to Baltic state
- Bring up trouble about a broadcast medium in European country
- Country going through after former finalist lost
- Starts to look at tracks through the country
- Elevated trail taken regularly through country
- Endlessly delayed travelling through part of EU
- Country where a cross-dresser’s in trouble, turning back
- country where artist and volunteers leave opera
- Tinseltown broadcaster with excellent backing in country
- Roman once dropping in by way of the country
Buddy explains!

The straight part
We know that "Baltic state" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case baltic state = latvia.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.