the melle wepon i would use a mechete ( i have bad speling ) or a katana. but the problem with a base ball bat is it take a lot of strenght and accurcy to score a kill. if the bat is made of metal it tends to get dented and damedg over prolonged uses.if the bat is wooden it can break over time as well and posibly in one hit.
Although you are correct in you assumptions of equipment degredation, your machete and katana will also suffer from abuse. Do you even know the results of using a sharpened weapon on bone? the blade will dull rather quickly, (at least without the latest and greatest material Coating) and they also have the opportunity to bend, break or fall apart.