YOU SAID:
Naomi want to go to Taipei for traveling.
INTO JAPANESE
ナオミは旅行で台北に行きたいです。
BACK INTO ENGLISH
Naomi wants to go on a trip to Taipei.
INTO JAPANESE
ナオミは台北に旅行に行きたがっています。
BACK INTO ENGLISH
Naomi wants to travel to Taipei.
INTO JAPANESE
ナオミは台北に旅行したいと思っています。
BACK INTO ENGLISH
Naomi wants to travel to Taipei.
That didn't even make that much sense in English.