I completely understand about taking incompletes but still not being in a frame of mind to finish them. What is the timeline you have to get them done? I know for some schools, it is by the end of the next semester and others is not until you enroll the next time but there are problems with this if professors leave, etc. which creates other issues. I tried breaking down everything into smaller task, REALLY small tasks, and focused on just one task at a time. I also talked to the professors about my situation and what could do to streamline what was left over so it wasn't so monumental. Many were understanding and either did streamline it by giving one final assignment to complete (which was more manageable) and/or by granting more time than the allotted official university time (which is also at their discretion). I'd encourage you to talk to them and whatever is decided on, break into much smaller steps.
The worse case I had was that I could not finish under any circumstances. I got documentation from the Pdoc of the circumstances and the semester was voided. Being so close to the end, this would be painful and to start over frustrating to say the least.
You've come this far. You've gotten through all the other classes. One small step at a time and I bet you can do it, really! I wish you all the best.