Here are pictures of the chain stay clearance for both of my 3.0 series bikes
94 Delta V 600 with 26x2.25 Michelin Country Trails (measured at 2.25" at the widest part of the tread while inflated @ 35 PSI)
92 M700 with 26x2.1Continental Traffics (measured at 2.2 at the widest part of the tread while inflated @ 35 PSI)
As you can see there isn't alot of chain stay clearance for anything much bigger than 2.25".
PS.. I know both bikes need a good cleaning too..
dopodomani for those that speak Italian..LOL