How to deal with the heavy grapplers?

I play Palutena and Bayo (secondary). A couple of friends in my region play Bowser and DK, and I have the damndest time against them. Palutena really doesn't have the air speed to land safely against them. Her usual landing options (fair and bair) get outranged or beaten out by DK's dash attack and both of their grabs, usually. Once I get in, it's not too bad, but Palutena doesn't get too much damage out of winning neutral, and the grapplers are fatties so they're not going to die on stage until stupid percents. I beat them off stage, but I struggle when they mix up their recovery, especially since their up specials have so much priority and start-up invincibility.Basically, how do I deal with these characters? Especially in neutral. via /r/CrazyHand http://ift.tt/2rUrwEo