Despite your machine only having been built in 2006, the following Snow Blowers will fit
The
44" Model M044SBH for tractors made in
2007 and 2008
The
42" Model GX0422X0 for tractors made in
2003 - 2005.
Ironically, no snowblowers appear to have been made for THAT machine only in 2006, it uses the snow blowers for preceding models in 03 to 05 and then after the 102 was built, in 2007 and 2008.
Focus on the specific Blower Model numbers when looking for the blower as you have been. And it very important that you attempt to make sure all of the pieces are included in whatever you do purchase as individual brackets and pieces, while available,. are not common stocked in most dealers.
These blowers aren't nearly as common as other John Deere blowers found for resale. Also, don't let anyone tell you that any other blowers will fit your machine without modification or custom fabrication as the snow blowers JimR listed and that I further described above are the only two Deere recognizes as fitting your mower.
Here are diagrams of the 44" blowers and their mounting pieces so you have an idea of what should be included with any purchase.
To be honest, there isn't a lot of information easily found about these blowers.......
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View attachment 764563