Man, maybe I played alot of Trophy Rush on 3DS, but I really don't see how people have trouble with this. You just use lots of aerial attacks to hit tons of blocks, punch away bombs and shield when they go to explode, move away from the other obstacles.
The higher your chain the faster your 'fever meter' fills, so if you lose your chain or fall off you might as well quit. You really just have to have a 'perfect run' and you'll be fine.
One possible tip, at the end of a fever rush, stop punching all the blocks falling for a moment, then you can punch them all to fill up a healthy chunk of your meter for the next rush since they're easy to break. Also be strategic with the yellow flashy blocks, only use them when you need them, 'save' them if you can for after a fever rush.