fabrizim

Choose the post types that you would like to choose from in addition to Pages. The 
“Front Page:” dropdown will then display each different post type in their own groups.
This will not result in a redirect on the front page as has been seen in other attempts 
to provide this functionality. In addition, the canonical url will be properly reflected 
as the home url.

CPT on Front Page

very good plugin !

This plugin allows post types other than "page" to be displayed as the static front page.

bmenant

Here is a useful method you should use any where you need it <code>dnas_get_post_ID()</code>.
It returns the post ID (if any) related to the current domain name. 
For instance, if you would like to display URL of the fake home page:
 
You can check the plugin development on <a href="https://github.com/bmenant/wordpress-domain-name-autoswitch" rel="nofollow ugc">github</a>.
Pros:
<ul>
<li>since the plugin does not modify nor use your <code>.htaccess</code> file, 
it works with every permalink formats.</li>
<li>allow you to manage your domain names directly through your 
post edit forms.</li>
</ul>
Cons:
<ul>
<li>since it hacks the query variables, some template tags like <code>is_home()</code> 
could not work as expected if a dedicated domain name is triggered.</li>
<li>be aware there is no conflict support: you can fill the same domain 
for several posts. Only a single one will win the game, without 
any control from your part (but it will be easy to see which one have 
to be checked… if you ever notice it). Be careful!</li>
</ul>
<h4>Configuration</h4>
The plugin works with both custom post types and classic post type. 
You have to edit a configuration file in order to indicate on which 
posts the plugin should add its domain name field. You can indicate 
Categorie identifiers or/and Post Types slugs. For instance, to make 
the plugin showing its domain field on any posts of the categories #4 
and #8, then:
<pre><code>$dnas_categories_ID = array( 4, 8 );
</code></pre>
<h4>Dependency</h4>
The <a href="https://wordpress.org/plugins/advanced-custom-fields" rel="ugc">Advanced Custom Fields</a> 
plugin is required.
<h4>License</h4>
This program is free software. It comes without any warranty, to 
the extent permitted by applicable law. You can redistribute it 
and/or modify it under the terms of the <a href="http://www.wtfpl.net/txt/copying/" rel="nofollow ugc">Do What The Fuck You Want 
To Public License, Version 2</a>, 
as published by Sam Hocevar. See (http://www.wtfpl.net/) for more details.

Domain Name Autoswitch

Add a domain name field to the posts’ edit pages you have selected (through category and/or post type identifiers). Allow each post to have its own do …

CPT on Front Page vs Domain Name Autoswitch