I have done a queen-sized quilt on my 1923 Singer 66. Yes, the quilt was big and bulky, but it was doable. Look at your quilt as if divided into quarters, work on one quarter at a time, beginning in the center. Make sure you have plenty of table space to hold the bulk of the quilt. I even put a small table (wood tv tray) to my left to hold some of the bulk while I work.
To do the pin basting, I moved some things to create enough floor space to lay it out. If you don't have enough floor space, how about wall space? I've seen youtube videos about spray basting on a wall, and it looks like it would work nicely. Spray basting has the added benefit of not having to remove pins or basting stitches as you work. I personally have not tried wall basting though.