Bypass onclick form search value - forms

Question

JSFiddle: https://jsfiddle.net/apamvz1r/1/
I have the following code that I would like to eliminate the need for the visitor to click the radio button before searching... Is this possible? I would like to completely eliminate this field or hide it.
<input type="radio" name="RProducts" onclick="frmSearch.Products.value='BB'">
If you don't click on the radio input, it doesn't work properly, even if i pre-select it, it still needs to be directly clicked on. Is there a way around this?
<form action="http://search1.bestbenefits.com/provsearch.asp" method="post" name="frmSearch" id="frmSearch" target="_blank" onSubmit="return CheckParams()">
<input type="hidden" name="Products" value="">
<input type="hidden" name="Title" value="24-7_MedPlan-20140416">
<input type="radio" name="RProducts" onclick="frmSearch.Products.value='BB'">Search Providers
<br />Zip Code: <input type="text" size="9" name="Zip" maxlength="5"><br />
<input type="submit" value="Search for Providers">
</form>

Answer 1

This works for me:
<form action="http://search1.bestbenefits.com/provsearch.asp" method="post" name="frmSearch" id="frmSearch" target="_blank" onSubmit="return CheckParams()">
<input type="hidden" name="Products" value="">
<input type="hidden" name="Title" value="24-7_MedPlan-20140416">
<input checked="checked" type="radio" name="RProducts" onclick="frmSearch.Products.value='BB'">Search Providers
<br />Zip Code: <input type="text" size="9" name="Zip" maxlength="5"><br />
<input type="submit" value="Search for Providers">
</form>