How can I deploy disabled Virtual Server using JSON and AS3

You should configure your declaration with arp and echo disabled in the VirtualAdress level. Please refer to this link for an example:

https://clouddocs.f5.com/products/extensions/f5-appsvcs-extension/latest/declarations/miscellaneous.html#configuring-virtual-address-settings-while-using-source-address-filtering

{
    "class": "ADC",
    "schemaVersion": "3.15.0",
    "id": "declarationId",
    "source_service_address_example": {
        "class": "Tenant",
        "app": {
            "class": "Application",
            "my_service_address": {
                "class": "Service_Address",
                "virtualAddress": "1.1.1.1",
                "arpEnabled": false,
                "icmpEcho": "disable"
            },
            "service": {
                "class": "Service_Generic",
                "virtualAddresses": [
                    [
                        {
                            "use": "my_service_address"
                        },
                        "1.2.3.4/32"
                    ]
                ],
                "virtualPort": 1000
            }
        }
    }
}