AWS Route53不支持将同一VPC与多个共享相同父域的私有托管区关联起来，因此无法解决此冲突域问题。不过，可以通过将所有相关资源放在同一个VPC中来实现一个解决方案，并确保任何其他区域或VPC都不具有相同的域名。

以下为示例代码：

---
AWSTemplateFormatVersion: '2010-09-09'
Resources:
  VPC:
    Type: 'AWS::EC2::VPC'
    Properties:
      CidrBlock: '10.0.0.0/16'
      EnableDnsSupport: true
      EnableDnsHostnames: true
  PrivateHostedZone:
    Type: 'AWS::Route53::HostedZone'
    Properties:
      Name: 'example.com'
      VPCs:
        - VPCId: !Ref VPC
          VPCRegion: !Ref AWS::Region
  EC2Instance:
    Type: 'AWS::EC2::Instance'
    Properties:
      ImageId: ami-0c55b159cbfafe1f0
      InstanceType: t2.micro
      KeyName: my_key
      SubnetId: !Ref Subnet
      SecurityGroupIds:
        - !Ref SG
  Subnet:
    Type: 'AWS::EC2::Subnet'
    Properties:
      VpcId: !Ref VPC
      CidrBlock: '10.0.1.0/24'
  SG:
    Type: 'AWS::EC2::SecurityGroup'
    Properties:
      GroupDescription: Allow SSH from VPC
      SecurityGroupIngress:
        - IpProtocol: tcp
          FromPort: 22
          ToPort: 22
          CidrIp: '10.0.0.0/16'