This is my reply to a brother who had sought my opinion on convinience in accessing the Haram.
Assalamo Alaikum WR WB.
Sheraton, simply by the name itself, is superior than Ajyad Makkah.
Personally I think Sheraton is located nearer to Haram than Ajyad Makkah is.
Whilst you can take a commuter mini bus from Ajyad makkah I doubt whether you will benefit similarly from Sheraton.
Walking wise, it is a straight walk from Ajyad Makkah to Bab Malik Aziz Gate of Haram.
Sheraton lies at the Marwa end of the Sai space of the Haram. You come out of the hotel on to the main street and then veer right into the very large courtyard. The walk for you is OK but with the buggy it is a bit dodgy as you go past all the shops on the footpath which is not even. You cannot walk on the road as it is very very busy part of Makkah.
From the court yard you head towards either Marwa gate or walk further to Safa gate because of the buggy. All the remaining entrance doors are with steps and ramps and in-convinient for you.
Elaf Kindah is far more better for you in terms of the walking and I would recommend you take Elaf Kindah if the choice available to you is between Sheraton, Ajyad Makkah and Kindah.
If you have further choices I suggest you consider Grand Makkah facing Bab al Umra Gate. However, you will again be required to negotiate either the steps or escalator to the Mataf area but the hotel is touching distance from Haram.
Of course there is also the Al Masa facing the Palace and a good choice comparatively to Kindah, Ajyad Makkah and Grand Makkah all being 4 star A grade and Sheraton being 5 star.
I trust this clarifies. I am sorry if I am not too much of a help.