Do you think both "although X,Y" and "Y although X" are fine?
(1)Although a number of well-known destinations make the list -- the Hirshhorn, the FDR Memorial and the Capitol grounds -- the tours also take visitors to lesser-known gems. Head to Northeast for a look at the peaceful garden sanctuary at the Franciscan Monastery or visit the sprawling Cleveland Park estate once known as the Causeway and later renamed Tregaron by noteworthy owners ambassador Joseph E. Davies and Marjorie Merriweather Post.

(2)The tours also take visitors to lesser-known gems although a number of well-known destinations make the list -- the Hirshhorn, the FDR Memorial and the Capitol grounds. Head to Northeast for a look at the peaceful garden sanctuary at the Franciscan Monastery or visit the sprawling Cleveland Park estate once known as the Causeway and later renamed Tregaron by noteworthy owners ambassador Joseph E. Davies and Marjorie Merriweather Post.

Question

Do you think both "although X,Y" and "Y although X" are fine?
(1)Although a number of well-known destinations make the list -- the Hirshhorn, the FDR Memorial and the Capitol grounds -- the tours also take visitors to lesser-known gems. Head to Northeast for a look at the peaceful garden sanctuary at the Franciscan Monastery or visit the sprawling Cleveland Park estate once known as the Causeway and later renamed Tregaron by noteworthy owners ambassador Joseph E. Davies and Marjorie Merriweather Post.

(2)The tours also take visitors to lesser-known gems although a number of well-known destinations make the list -- the Hirshhorn, the FDR Memorial and the Capitol grounds. Head to Northeast for a look at the peaceful garden sanctuary at the Franciscan Monastery or visit the sprawling Cleveland Park estate once known as the Causeway and later renamed Tregaron by noteworthy owners ambassador Joseph E. Davies and Marjorie Merriweather Post.

Answer

Yuko, 

1) is definitely better. You introduce the list of well-known destinations, then follow it up logically with the sentences describing the lesser known gems. 
2) is less logical. You start with the lesser known gems, switch to the list of well-known destinations, and then switch back to the sentences describing the lesser-known gems. 

Although I know you love the conjunction 'although', it is not the best conjunction to use here. There is no strong contrast between the lesser-known gems and the well-known gems that would call for the use of 'although', which means: in spite of the fact that. 
It would be better to use the conjunction 'while', meaning: similarly, at the same time that 

While a number of well-known destinations make the list -- the Hirshhorn, the FDR Memorial and the Capitol grounds--the tours also take visitors to lesser-known gems.

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