When my quilt is bigger than my table, which is most of the time, I clamp my backing to the table, starting in one corner. Then I use spray basing between the layers, moving the sandwich from corner to corner. I peel back the top 2 layers, spray, lay the batting, spray, & lay the top.
When the spray basting is done, I turn the sandwich over to smooth any wrinkles, again doing one corner at a time. Then I hand baste, again, a corner at a time.
Whenever possible, I go somewhere they have banquet tables, like a church, library or community center.
When things keep going wrong, for me the best thing is to walk away for a day or more. I have had time to process the problem, and things work better.