Is there any sound evidence from the Quran or Sunnah to suggest that when the Prophet (blessings and peace of Allah be upon him) returned from his Mi‘raaj (ascent to heaven) he found his bedsheet still warm, and that a vessel of water that he had overturned when he left was still dripping water, and that the chain of his door was still swinging as it had been when he left his apartment before he set off?

Praise
be to Allah

We do not know of any basis for what is mentioned in the
question, that when the Prophet (blessings and peace of Allah be upon him)
returned from his Mi‘raaj he found his bedsheet still warm, and he found a
vessel that had been overturned before his Mi‘raaj still dripping water, and
he found the chain of the door still swinging.  It is not permissible to
narrate such stories, because of what they involve of tedious exaggeration. 

We do not know of anyone who says that the bed of the
Messenger of Allah (blessings and peace of Allah be upon him) had a bedsheet
(malaa’ah); using the word malaa’ah (bedsheet) in reference to the
cover of a bed is a modern usage; the Arabic word malaa’ah originally
refers to an enveloping garment (milhafah) or waist wrapper (izaar).
See: Lisaan al-‘Arab (1/160) and an-Nihaayah (4/352) 

Shaykh ash-Shuqayri (may Allah have mercy on him) said: 

The idea that the Prophet (blessings and peace of Allah be
upon him) went and came back during the night of the Isra’ (Night Journey)
and his bed had not grown cold is not proven; rather it is one of the lies
that are told by people.

End quote from as-Sunan wa’l-Mubtada‘aat (143). 

Similarly, it is not known that the door of the Prophet
(blessings and peace of Allah be upon him) had a chain with which it was
locked. In the beginning, most of the houses did not have doors. ‘Abd
ar-Rahmaan ibn Zayd said concerning the verse (interpretation of the
meaning), “There
is no restriction… nor on yourselves, if you eat from your houses… or (from
the house) of a friend” [an-Noor
24:61]: Rather this was
the case in the beginning, as they did not have doors, and curtains were
used instead.

End quote from Tafseer at-Tabari (19/221) 

Another indication that this notion is false is the report
narrated by al-Bukhaari (3342) and Muslim (163) from Anas ibn Maalik, who
said: Abu Dharr used to narrate that the Messenger of Allah (blessings and
peace of Allah be upon him) said: “The roof of my house was opened when I
was in Makkah, and Jibreel (peace be upon him) came down and split open my
chest, then he washed it with Zamzam water. Then he brought a golden basin
filled with wisdom and faith and emptied it into my chest. Then he sealed it
and took my hand, and took me up to heaven…. This indicates that the Prophet
(blessings and peace of Allah be upon him) was taken directly up to heaven,
via an opening in the roof, not via the door. 

For more information, please see the answers to questions no.
84314 and 124812 

And Allah knows best.