Where are you aiming to walk to Raymond? That will have some implications for the answers to your questions.
I left Almeria at roughly the same time of year in 2017. First few days, I felt hot in the afternoon (mid-30s), so I got into the habit of starting early in the morning and finding a shady spot for a rest in the afternoon. During the journey to Granada, you climb to 1,400m and the temperature is more bearable. Later in October, things cool down - Of course it can be different from year to year. If you're planning to continue on VdlP toward Santiago, you will find that you hit cold temperatures from November onward.
You can find the guide to albergues from Almeria to Merida on the Almeria Association website and Facebook page. It is usually updated every month. As you will see, there is a good network of municipal and private albergues. In places where there are no albergues, there are usually hotels with pilgrim prices less than €25 :
Blog sobre el Camino Mozárabe de Santiago
Camino Mozarabe De Santiago De Almeria a Granada. 6,717 likes · 909 talking about this. Asociación Jacobea de Almeria-Granada Camino Mozárabe. Todo lo concerniente al camino mozárabe
Fewer pilgrims than on VdlP. But waymarking and albergue network are excellent for most of the way. And some of the associations on this Camino are very helpful. It's really worthwhile to get in touch with them before you go. They are ready to welcome all pilgrims personally in Almeria and they will stay in touch and provide the help that you need.