How to handle HTTP Call Out in a for loop that is in a Queueable class

Question

I am having some issues with making a callout in my for loop. I have a batch class that calls my queueable class which then loops through and sends a single parameter to the endpoint. What is happening is that I either get a Read Time Out or Exceeding Max Time Allotted For Callout (120000). I believe the connection is being kept open and it is not closing the connection on each call out. Any ideas on how I can handle this? Right now I'm limiting the batch to 1 and it is working however it is not bulkifying any of my inserts.

HttpRequest docRequest = new HttpRequest();
            docRequest.setMethod('GET');
            docRequest.setHeader('Content-Type', 'application/json');
            docRequest.setHeader('Authorization','Bearer '+accessToken);
            docRequest.setHeader('Connection','Close');
            docRequest.setTimeout(120000);
            System.debug('$$$$ after doc request');
            Http docHttp = new Http();

            for(String cisItem :cisIdPaaListMap.keySet())
            {
                System.debug('cisItem '+cisItem);
                cisId = cisItem;
                System.debug('&&& inside else ');
                System.debug('2 Queued jobs '+Limits.getQueueableJobs());
                docRequest.setEndpoint(avMdtGeneratePdfEndPoint.value__c+cisItem);
                HTTPResponse res = docHttp.send(docRequest);
                System.debug('@@@ after res ');
                if(res.getStatusCode() == 200)
                {
                    System.debug('111 is 200');
                    Map<String, Object> resultsMap = (Map<String, Object>) JSON.deserializeUntyped(res.getBody());
                    if(!resultsMap.isEmpty())
                    {
                        docIdPaaListMap.put(String.valueOf(resultsMap.get('document_id')),cisIdPaaListMap.get(cisItem));
                        System.debug('docIdPaaListMap '+docIdPaaListMap);
                    }
                }
                else 
                {
                    System.debug('inside not 200 what is the cis Item' +cisItem);
                    errIdList.add(cisItem);
                    errMsgList.add(res.getStatus());
                    System.debug('status code '+res.getStatusCode());
                }
            }