I agree probably clutch slipping, as it is likely to do that under load causing the rpm rise. Not sure about the described sound. Removal or leaking of entire air inlet system is unlikely to change rpm much since this is a diesel engine, unless the filters are horribly clogged. I would think it'd be smoking alot if inlet was clogged. 870 has a 2 stage clutch - first half of pedal push disengages engine clutch, second half disengages pto. Check the clutch free play, and if that is up to spec, there is a little window on the side of the clutch housing with a screen you can remove and look at the thickness of the clutch disc. If you are lucky it'll be an adjustment. If not, clutch replacement requires splitting the tractor. I'd check over the whole unit to make sure all bolts on engine to clutch and transmission are tight to be sure something is not loose and throttle linkage not changing length under load. It is low hours for a clutch to go bad but not everybody is good at using clutches properly.