Can we have the inspection done AFTER closing?

Hello, we are set to close on our house tomorrow. However, we had some rather unfortunate news from the inspector, he was involved in a car accident on Tuesday with a broken leg and will be out of work for a while. That leaves us with no time to find another inspector before closing. It is a new construction home so both the builder and our realtor are assuring us that we don't need one because any problems we encounter will be fixed by the builder within a year (by state law there is a one year warranty on new construction homes). I want to have one anyway just for peace of mind. We have worked with the builder directly and he has assured us that if we find anything wrong, he will fix it. Given this, is there anything wrong with having an inspector come out in the next week or two? I am mainly concerned about catching anything major which would be covered under warranty anyway. Thanks.
Added (1). The mortgage did make it through underwriting. The bank apparently doesn't require inspection on new homes (news to me too). I guess it'd be bad for the builder's business if we found something in an inspection and he refused to fix it. He's very well known around here. Just wondering if we would be mainly safe choosing to do it this way.
Added (2). And, well, anything major would NEED to be fixed by law, anyway. Can I rest assured?

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