You said that your OPT was expiring in June, however, the H1 you get will not be valid until October. I talked to a layer about this and apparantely you will still be reqd to leave the country 2 months after your OPT expires however you can come back after october with your H1 Visa. This was the reason I saw no use in getting a H1 right now. Even if a company sponsors you and your opt expiring in june, you will basically have to say to the company that you will be reqd to leave the country after august and that if you work until then it will have to be volounteer work. Have fun!!