squidを用いたプロキシサーバーの構築について

EC2インスタンスを使ってプロキシサーバを構築しているのですが、Privateserverから特定のサイト(yahoo.co.jp)へアクセスのみ、プロキシ経由でサイトへアクセスする方法について

APIをPrivateサーバで実行する場合、特定のサイトへのアクセスのみProxyサーバ経由で行いたいと考えています。
APIのアクセス先に応じてProxyを経由するように設定するには、どうしたらよろしいでしょうか。

確認事項
ping での疎通確認

ping 10.1.0.14
PING 10.1.0.14 (10.1.0.14) 56(84) bytes of data.
64 bytes from 10.1.0.14: icmp_seq=1 ttl=255 time=0.868 ms
64 bytes from 10.1.0.14: icmp_seq=2 ttl=255 time=1.01 ms
^C
--- 10.1.0.14 ping statistics ---
2 packets transmitted, 2 received, 0% packet loss, time 1014ms
rtt min/avg/max/mdev = 0.868/0.941/1.014/0.073 ms

telnetでのプロキシサーバとの疎通確認

telnet 10.1.0.14 3128
Trying 10.1.0.14...
Connected to 10.1.0.14.
Escape character is '^]'.
GET http://183.79.135.206/
HTTP/1.1 200 OK
Date: Mon, 15 Jul 2019 02:40:50 GMT
P3P: policyref="http://privacy.yahoo.co.jp/w3c/p3p_jp.xml", CP="CAO DSP COR CUR ADM DEV TAI PSA PSD IVAi IVDi CONi TELo OTPi OUR DELi SAMi OTRi UNRi PUBi IND PHY ONL UNI PUR FIN COM NAV INT DEM CNT STA POL HEA PRE GOV"
X-Content-Type-Options: nosniff
X-XSS-Protection: 1; mode=block
X-Frame-Options: SAMEORIGIN
~省略

curlコマンドでリクエスト時にProxyの利用を指定することができる

curl http://169.254.169.254/latest/meta-data/instance-id
i-09ed9b8430a429a8a
curl --proxy 10.1.0.14:3128 http://169.254.169.254/latest/meta-data/instance-id
i-03d35a3ea0bfcf191

発生している問題・エラーメッセージ

サイトへのアクセスのタイムアウト

curl http://183.79.135.206/
curl: (7) Failed to connect to 183.79.135.206 port 80: Connection timed out

squid.conf

#
# Recommended minimum configuration:
#

# Example rule allowing access from your local networks.
# Adapt to list your (internal) IP networks from where browsing
# should be allowed
acl localnet src 10.1.0.0/16    # RFC1918 possible internal network
acl localnet src 172.16.0.0/12  # RFC1918 possible internal network
acl localnet src 192.168.0.0/16 # RFC1918 possible internal network
acl localnet src fc00::/7       # RFC 4193 local private network range
acl localnet src fe80::/10      # RFC 4291 link-local (directly plugged) machines
acl localnet src 127.0.0.1/32
acl SSL_ports port 443
acl Safe_ports port 80          # http
acl Safe_ports port 21          # ftp
acl Safe_ports port 443         # https
acl Safe_ports port 70          # gopher
acl Safe_ports port 210         # wais
acl Safe_ports port 1025-65535  # unregistered ports
acl Safe_ports port 280         # http-mgmt
acl Safe_ports port 488         # gss-http
acl Safe_ports port 591         # filemaker
acl Safe_ports port 777         # multiling http
acl CONNECT method CONNECT
acl allow_hosts src 54.162.26.86/32

http_access allow allow_hosts
#
# Recommended minimum Access Permission configuration:
#
# Deny requests to certain unsafe ports
http_access deny !Safe_ports

# Deny CONNECT to other than secure SSL ports
http_access deny CONNECT !SSL_ports

# Only allow cachemgr access from localhost
http_access allow localhost manager
http_access deny manager

# We strongly recommend the following be uncommented to protect innocent
# web applications running on the proxy server who think the only
# one who can access services on "localhost" is a local user
#http_access deny to_localhost

#
# INSERT YOUR OWN RULE(S) HERE TO ALLOW ACCESS FROM YOUR CLIENTS
#

# Example rule allowing access from your local networks.
# Adapt localnet in the ACL section to list your (internal) IP networks
# from where browsing should be allowed
http_access allow localnet
http_access allow localhost
forwarded_for off
# And finally deny all other access to this proxy
http_access allow all
#http_access deny all

# Squid normally listens to port 3128
http_port 3128

# Uncomment and adjust the following to add a disk cache directory.
#cache_dir ufs /var/spool/squid 100 16 256

# Leave coredumps in the first cache dir
coredump_dir /var/spool/squid

#
# Add any of your own refresh_pattern entries above these.
#
refresh_pattern ^ftp:           1440    20%     10080
refresh_pattern ^gopher:        1440    0%      1440
refresh_pattern -i (/cgi-bin/|?) 0     0%      0
refresh_pattern .               0       20%     4320

forwarded_for off
visible_hostname unknown
request_header_access X-Forwarded-For deny all
request_header_access Via deny all
request_header_access Cache-Control deny all

max_filedesc 4096

http_access deny all

正直squid.confの設定をどのように行えばいいか理解できていません。
どうかお力添えをお願いします。