There's indeed no credible Islamic source giving an estimation or exact time frame for when Nuh or Naoh lived (except if we consider statements from the people of the book as such).
There's even a dispute among early scholars whether 950 refers to his age or only the time of his "active preaching", some say he reached the age of 950 while others say he bacme Prophet at the age of 40 and then preached 950 years etc. (For details see here on islamqa). So far some Muslim sources about Noah you could also take a look at this wikipedia article (with a reference list to his mentioning in the qur'an), but none of these sources give an estimation about a time periode where he was living as it was not relevant for the message of Islam!
However on this site they claime that he lived between 3900 BC and 2950 BC.
They also pretend that he was an Arab Prophet() and say he was: Nuh son of Nuh son of Lamik son of Mutshawlah (?) son of Idriss son of Yarid (?) son of Mohlaail son of Qaynan son of Anoosh so of Sheet son of Adam (see also on both Arabic and English wikipedia, which seems the source for that)
هو نوح بن نوح بن لامك بن متشولح بن إدريس بن يرد بن مهلائيل بن قينان بن أنوش بن شيث بن آدم
From this we may conclude that he lived after Idriss or Idrees (mentioned in 19:56 and 21:85), according to ibn Ashur the Torah refers to him by Enoch or Akhnukh أَخْنُوخ, but we have no idea when he lived!
He was sent to spread the message to people we don't know about nany thing expect that they were the people of Nuh. On that site they also claime that according to a narration of 'Ikrimah on the authority of ibn 'Abbas the location he was sent to was India, an other narration presnets this location as the 'Iraq or the land between the two rivers or more explicitly al-Kufa (a mosque or place of worship there). While older "Persian" like the Gilgamesh sources say the location was Babilion. If we trusted the truth of the Gilgamesh we may at least say that the flood was before 2700 BC and Nuh lived at that time, and this may to some extent support the claime from above (but this certainly is not an islamic source).
In their tafsir books ibn Kathir and al-Qurtobi (who counted 7 different interprteations of the meaning of at-Tannur التنور in the following translated "oven") quoted some of these interpretations of possible locations Noah was sent to in the context of verse (11:40):
[So it was], until when Our command came and the oven overflowed, We said, "Load upon the ship of each [creature] two mates and your family, except those about whom the word has preceded, and [include] whoever has believed." But none had believed with him, except a few.
The extract of tafsir ibn Kathir (qtafsir) however only quoted one interpretation of at-Tannur (Which might be considered as a Muslim sources on Noah).