I've set up this List View Button to select a certain picklist value for all checked records. Is it possible to create a single List View Button where the user is able to select which picklist value to enter rather than a pre-determined one?

!REQUIRESCRIPT('/soap/ajax/30.0/connection.js')}

try{
    /*
        Getting IDs of all the Selected Records.
    */
    var selectedRecords = {!GETRECORDIDS( $ObjectType.PSH_Check__c )};

    /*
        Ensure that atleast 1 record is selected
    */
    if(selectedRecords.length > 0){
        /*
            Creating an Array to store the Records that 
            are to be Updated.
        */
        var recordsToUpdate = [];

        /*
            Loop thro' each ID and then create a
            record of Type: PSH_Check__c.

            Then assign values to the appropriate Fields
            and finally add it to the recordsToUpdate array.
        */
        for(var i = 0; i < selectedRecords.length; i++){
            var record = new sforce.SObject('PSH_Check__c');

            record.Id = selectedRecords[i];
            record.check_status__c = "Mailed";

            recordsToUpdate.push(record);
        }

        /*
            Update all the records
        */
        var result = sforce.connection.update(recordsToUpdate);

        /*
            Showing the result of the Update
        */
        var message = '';
        var failedCount = 0, successCount = 0;
        for(i = 0; i < result.length; i++){
            if(result[i].getBoolean('success') != true){
                failedCount++;
                message = message + '\n>>' + result[i].errors.message;
            }
            else{
                successCount++;
            }
        }

        alert(
            '::Mass Update Status::\r\n' + 
                'Total Submitted: ' + 
                    (failedCount + successCount) + ' Record(s)\n' +
                'Total Updated: ' + 
                    successCount + ' Record(s)\n' +
                'Failed to Update: ' + 
                    failedCount + ' Record(s)\r\n' +
            message
        );

        /*
            Reload the Page
        */
        location.reload();
    }
    else{
        alert('Please select atleast one row');
    }
}
catch(e){
    alert(
        'An Un-expected Error has Occurred. Error:' +
        e
    );
}