Установка значения раскрывающегося списка, связанного с узлом идентификатора в том же разделе HTML

// ==UserScript==
// @name     _Set <select> value under specific HTML section id
// @match    *://YOUR_SERVER.COM/YOUR_PATH/*
// @require  https://ajax.googleapis.com/ajax/libs/jquery/2.1.0/jquery.min.js
// @require  https://gist.github.com/raw/2625891/waitForKeyElements.js
// @grant    GM_addStyle
// @grant    GM.getValue
// ==/UserScript==
//- The @grant directives are needed to restore the proper sandbox.

waitForKeyElements (".control > select > option[value$='Cleaned']", selectId302Value);

function selectId302Value (jNode) {
    //-- Make sure control belongs to the correct id:
    var idNode  = jNode.closest (".field-content").prev (".item-data");
    if (idNode.length === 0) {
        console.error ("Page structure changed or invalid in selectId302Value().");
        return;
    }
    if (idNode.text ().includes ('"302"') ) {
        var evt     = new Event ("click");
        jNode[0].dispatchEvent (evt);

        //-- Correct val already determined by WFKE selector.
        jNode.parent ().val(jNode.val () );

        //-- The select node would get any required change event.
        evt         = new Event ("change");
        jNode.parent ()[0].dispatchEvent (evt);
    }
}

<!----------------------------------------
----- Simulated target page follows: -----
----------------------------------------->
<script src="//ajax.googleapis.com/ajax/libs/jquery/2.1.0/jquery.min.js"></script>
<script src="//greasyfork.org/scripts/2199-waitforkeyelements/code/waitForKeyElements.js"></script>
<div class="field tabular">
    <span class="item-data">{"Id":"302"}</span>
    <div class="field-content">
        <div class="title" title="Dropdown A">Dropdown A</div>
        <div class="data">
            <div class="errors"></div>
            <div class="control">
                <select>
                    <option value="Not Checked" selected="selected">Not Checked</option>
                    <option value="Checked &amp; Cleaned">Checked &amp; Cleaned</option>
                    <option value="Not Applicable">Not Applicable</option>
                    <option value="See Section Notes">See Notes</option>
                </select>
    </div></div></div>

    <span class="item-data">{"Id":"777"}</span>
    <div class="field-content">
        <div class="title" title="Dropdown B">Dropdown B</div>
        <div class="data">
            <div class="errors"></div>
            <div class="control">
                <select>
                    <option value="Not Checked" selected="selected">Not Checked</option>
                    <option value="Checked &amp; Cleaned">Checked &amp; Cleaned</option>
                    <option value="Not Applicable">Not Applicable</option>
                    <option value="See Section Notes">See Notes</option>
                </select>
    </div></div></div>
</div>