Muhrim covering his head and using an umbrella for shade

Firstly: 

The scholars are agreed that covering the
head is haraam for a man in ihraam. This is indicated by the words of the Prophet (peace and blessings of Allaah be upon him) concerning a
man who died in ‘Arafah when he was in ihraam: “Wash him with water and lotus leaves, and shroud him in two cloths, and do not put any perfume on
him or cover his head, for Allaah will resurrect him on the Day of Resurrection reciting the Talbiyah.” Narrated by al-Bukhaari, 1267; Muslim,
1206. 

Al-Bukhaari (1542) and Muslim (1177) narrated
from ‘Abd-Allaah ibn ‘Umar (may Allaah be pleased with him) that a man said, “O Messenger of Allaah, what garments should the muhrim wear?” The
Messenger of Allaah (peace and blessings of Allaah be upon him) said: “He should not wear a shirt, or a turban, or pants, or a burnoose or
khifaaf (shoes).” The burnoose is a garment worn by the people of the Maghreb (North Africa) which has a hood attached. 

Secondly: 

The muhrim’s covering his head is of various
kinds: 

1 – Covering it with something that stays on
the head, such as a hat or turban and the like. This is haraam. The evidence for it being haraam is the two hadeeth quoted above. 

2 – Covering his head with something that
does not stay on it, such as an umbrella, tent, car roof etc. There is nothing wrong with this, because Umm Husayn (may Allaah be pleased with
her) said: “I performed Hajj with the Messenger of Allaah (peace and blessings of Allaah be upon him) during the Farewell Pilgrimage, and I
saw him when he stoned Jamarat al-‘Aqabah and went away on his mount, accompanied by Bilaal and Usaamah. One of them was leading his mount and the
other was holding his garment over the head of the Messenger of Allaah (peace and blessings of Allaah be upon him), shading him from the sun.
Narrated by Muslim, 1298. 

Al-Nawawi said: 

This indicates that it is permissible for the
muhrim to shade his head with a cloth or whatever. This is our view and the view of the majority of scholars. 

Shaykh Ibn ‘Uthaymeen said: this is exactly
like an umbrella. 

Shaykh Ibn Baaz said: There is nothing wrong
with the muhrim using an umbrella to shield himself from the sun, or shading himself in a tent or under the roof of a car. Fataawa Ibn Baaz,
17/115. 

3 – Carrying one’s luggage on one’s head. There is nothing wrong
with this because it is usually not done with the intention of covering the head. If it is done with that intention then it is haraam. 

Shaykh Ibn Baaz said: 

Carrying luggage is not covering the head, it
is like the muhrim carrying food and the like, so long as he is not doing that as a trick (to get around the ruling), because Allaah has forbidden
His slaves to use trickery in order to do things that He has forbidden. 

Fataawa Ibn Baaz, 17/115 

And Allaah knows best.