(C) With no natural predators and with expanses of green suburban neighborhoods where there is no hunting, the deer population in New Jersey, wildlife officials estimate, has.
This sentence is grammatically correct and effectively conveys the intended meaning. It states that wildlife officials estimate the deer population in New Jersey to have grown due to the absence of natural predators and the presence of green suburban neighborhoods where hunting is not allowed.
(A) With no natural predators and expanses of green suburban neighborhoods that allow no hunting, wildlife officials estimate the New Jersey deer population to have
The placement of the dependent clause "wildlife officials estimate" interrupts the flow of the sentence. It would be more effective to rephrase it to maintain a smoother structure.
(B) With no natural predators and with expanses of green suburban neighborhoods that do not allow hunting, wildlife officials' estimate of deer population in New Jersey has.
This sentence is a bit too wordy adds unnecessary complexity to the sentence.
(D) Without natural predators and no hunting allowed in expanses of green suburban neighborhoods, New Jersey has a deer population that wildlife officials estimate to have.
The placement of "New Jersey has a deer population" makes the sentence less clear and slightly awkward. It would be better to rephrase it to provide a clearer structure.
(E) Without natural predators and with expanses of green suburban neighborhoods where there is no hunting, wildlife officials in New Jersey estimate a deer population that has.
This sentence uses the phrase "estimate a deer population that has," which is a bit awkward and could be more straightforwardly expressed. It would be better to rephrase it for better clarity and flow.
Overall, option (C) is the most concise and effective choice among the given options.