This is definitely doable on your home machine. I quilted my first quilt, which was at least a king, on my Janome which had about a 7 inch throat. I just did SITD, but it got the job done and the aunt and uncle I gave it to were perfectly happy.
Since doing this I've learned all kinds of ways to use my machine's straight stitch to do other than SITD. For example, making wavy lines that gently curve makes a big difference and adds a little more pizzazz than SITD.
Have at it and have fun!