Have you tried the method outlined in Trigger autocomplete without submitting a form. This worked for me.
Basically trigger a click on the submit button of a form and get the form to open an empty page in a hidden iframe. It's obviously a hack but it literally clicks the form submit button, submits the form and opens a new page so naturally it works in every browser I've checked in.
To quote the example markup here:
<iframe id="remember" name="remember" class="hidden" src="/content/blank">
</iframe>
<form target="remember" method="post" action="/content/blank">
<fieldset>
<label for="username">Username</label>
<input type="text" name="username" id="username" value="">
<label for="password">Password</label>
<input type="password" name="password" id="password" value="">
</fieldset>
<button id="submit-button" type="submit" class="hidden"></button>
</form>
Then trigger the submit with $("#submit-button").click()
when processing the form through ajax.