**Core Concept**
This question tests the understanding of a specific neurodevelopmental disorder and its associated medical management. The patient's symptoms suggest a diagnosis of **Tuberous Sclerosis Complex (TSC)**, a genetic disorder characterized by the growth of non-cancerous tumors in various parts of the body, including the brain, eyes, and other organs.

**Why the Correct Answer is Right**
The patient's symptoms, such as poor muscle tone, drooling, and strabismus, are consistent with TSC. The management of TSC requires careful consideration of the potential effects of various treatments on the patient's symptoms and overall health. **General anesthesia (GA)** is a technique that is contraindicated in the management of this child due to the risk of **seizure induction** and **status epilepticus**, which can be triggered by the use of certain anesthetic agents.

**Why Each Wrong Option is Incorrect**
* **Option A:** While sedation techniques may be used in some cases, they are not contraindicated in the management of this child.
* **Option B:** In fact, the use of benzodiazepines, such as midazolam, may be beneficial in managing seizures in patients with TSC.
* **Option D:** Local anesthesia is not contraindicated in the management of this child.

**Clinical Pearl / High-Yield Fact**
In patients with TSC, it's essential to use anesthetic agents that are seizure-free and have a low risk of inducing seizures, such as **ketamine** or **propofol**.

**Correct Answer:** C.