From your question, it is not clear that where you need to display these static blocks. However based on my understanding, I will provide you some hints.
So basically you have some static blocks with you and you need to show them only when some condition get satisfied.
Here we goes. I assume you need to show these blocks in the right part of every page. For this you need to create a local.xml
layout file.
File : app/design/frontend/<your_package>/<your_theme>/layout/local.xml
<layout>
<default> <!-- this layout handle enable its child block appear almost every page -->
<reference name="right"> <!-- this let static block appear in the right section -->
<block type="core/template" name="conditional.static.blocks.container" template="staticblocks/contaier.phtml">
<block type="cms/block" name="static.block.1" as="static_block_1">
<action method="setBlockId"><block_id>code-for-sb-1</block_id></action>
</block>
<block type="cms/block" name="static.block.2" as="static_block_2">
<action method="setBlockId"><block_id>code-for-sb-2</block_id></action>
</block>
<!-- continue this step for every block -->
</block>
</reference>
</default>
</layout>
File : app/design/frontend/<package>/<theme>/template/staticblocks/contaier.phtml
<?php if({condition_1_satisfies}) : ?>
<div><?php echo $this->getChildHtml('static_block_1'); ?></div>
<?php endif; ?>
<?php if({condition_2_satisfies}) : ?>
<div><?php echo $this->getChildHtml('static_block_2'); ?></div>
<?php endif; ?>
<!-- continue this logic here for every static block according to your need -->
Advantage of this method is that, it gives you great flexibility. In every page at right side you can see this block. Since we are using different conditions in the parent block , only desired static block will appear in frontend.
As I already said, this is just an idea. You can elaborate it with your own conditions.
Hope that helps
Widgets are specific to Packages/Themes and do not follow Magento's Hierarchy (Fallback) system from my experience.
Make sure the widget you've created is assigned specifically to the Package & Theme your Store/Store View has assigned under System > Configuration > Design.
IF you're using a Custom Design on a Product, Category, CMS Page, or design set in System > Design you'll want to make sure you are assign your widget instance to reflect the same value. Be careful though, you cannot easily reassign the Package/Theme of a widget instance in Magento's admin.
Best Answer
My understanding is that CE 1.9.2.2 includes all the changes from the recent-patch SUPEE-6788, one of which was restrict the blocks that can be used in CMS blocks, pages, emails (etc...) by default.
Fortunately you can whitelist additional blocks through the admin under
System > Permissions > (Blocks | Variables)