<<A fight with Batman in it isn't going to be a straight-on fight unless there's some outside force to enforce it.

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Except that just about any reasonably powerful superhuman just totally outclasses a human. Check out the short story 'Feeding Frenzy' by Walter Jon Williams in the Wild Cards boosk for a good look at just how incredibly effective a moderately powerful superhuman can be when he is determined (think of a guy with CaptaiN America level physicality , walk walking, and darkness projection pwers and he completely dismantles a major conspiracy and finsihes off some bad guys who had held off sizeable military assualts a few years previous). Someone like Spidey who outclasses Batman in all physical ways and who also has the advantages of wall walking, webs, and a danger sense, would walk all over Cap.