If you're looking to check out Sunday (i.e., not overnightiong Sunday) you miss the rush of folks for the Messe.

I'm showing the Arabella Sheraton Westpark Hotel (on the U-bahn a few stops past the 'Wiese) with rooms at 73 and 74 Euro excluding breakfast.

Go to the Sheraton/Starwood site, check for rooms in Munich Germany arriving 31 Jan or 1 Feb, checking out 2 Feb, and be sure to click "leisure".

When the list comes up, select the Westpark, then rearrange the list "Average Daily rate - low to high" and those should be on the top.

(That's where I'm staying. It's a nice place, better than the 4-points in Olympic Park, but not as nice as the Marriott Ren in Schwabing.)