Hi - Sorry I can't answer your question about husband sponsorship, although I knew an American lady here who sponsored her husband so I know it must be possible. Depending on your husband's nationality..... I know for UK / AUS passport holders you can extend the visit visa for a further 30 days by going to the airport immigration dept and paying 100QR. When this expires you have to do a visa hop - fly out of the country then back to Doha. It's a pain but lots of people do it. Dubai or Bahrain are usually the cheapest options.