When despair starts I turn more robustly to God and while I am reading his words it makes me feel his presents constantly with me so it's hard to be lonely when I have him with me all the time.
To answer your question about God feeling lonely, I believe he is alway too busy keeping us on the straight and narrow to be lonely. Our God dont have time to be lonely because he is in constant demand.
May God's Blessing be on you and I will have you in my prayers asking God to remove your loniness so you can enjoy the tranquilty of his peace
Your Sister in Christ