Technically 285/35R22 is actually closer to the stock 275/45R20's than the 275/35R22's (+0.4% vs. -0.6%) so well within mileage/size adjustment limits. 285/40 may or may not fit but will definitely require recalibration as it's over 4% larger. You'd probably need to do a bunch of measurements on clearance of the current tires (loaded, full turn, incline) around wheel wells, fenders, internal suspension and nuts/bolts.
Here's a great tool (I pre-fitted a few of my guesses though I have no clue what the offset on those wheels is and I assume they're 9.5" wide w/ an offset of 45)
http://www.wheel-size.com/calc/?whe...T45&wheel2=285-40-22X9.5ET45&wheel3=285-35-22X10ET60&fcl=25mm&wcl=25mm&scl=25mm
The key parts is the clearance at the bottom. On the same 9.5/45 rim, you'd lose 5mm to the fender and 5mm to the wheel well (thanks to extra 10mm in width) and lose 18mm to the wheel well or anything above the tire (extra 36mm sidewall, 18mm above and below)
Overall though I'd second brutus. 285/35 gets you a little more height, a little more width and *should* (not an official statement) fit. Plus the choices and prices in that size is the sweet spot of low profile 22" rims until you go into the full out F150 truck style tires (305/40 or 45 R22)