PYTHON-4796 Update type checkers and handle with_options typing #688

Job	Run time
Make SDist	27s
Build wheels for manylinux_x86_64	2m 26s
Build wheels for manylinux_aarch64	10m 5s
Build wheels for manylinux_ppc64le	9m 51s
Build wheels for manylinux_s390x	10m 17s
Build wheels for manylinux_i686	2m 34s
Build wheels for win_amd6	4m 56s
Build wheels for win32	4m 7s
Build wheels for macos	3m 1s
Download Wheels	14s
	47m 58s

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