Well if you don't like a cheaper and slightly subsidized Apple Care, then yes, don't do it. But Apple Care on a $749 phone seems like a reasonable thing to do. I think you mentioned that other forms of insurance are available, but if you use home insurance don't the have a deductible before you can collect?
I don't know what a yearly credit check would do to your credit, but I can't imagine it being much of a ding. I assume my credit gets checked a few times a year. And in any case, unless I'm getting a mortgage, I can't think of any situation where my credit going up or down a little bit is going to cost me money. But I guess if your credit is on the bubble where you might not be able to rent an apartment or something like that, then you want to protect it with kid gloves. Though in that case, you might want to consider buying a $60 Android smartphone from Amazon and making efforts to pay down debt and rehabilitate you credit.