Going through a mining leasing service is now the best option to obtain Bitcoin without a bank account. Some services claim to pay out more than 200%, but if they did that then why would they be leasing the power to you instead of pocketing the currency themselves?? The honest services aim for anywhere from 70% to 150% your invested amount, paid out after it's been converted to Bitcoin and transferred to your wallet.
These services are a huge bonus for anyone that doesn't want to deal with an Exchange or the privacy issues there - They get hacked quite often. It's also a way for people to obtain Bitcoin or any crypto-currency that don't have access to an Exchange for any reason.
You can pay with Paypal through most sites, although you'll probably want to do business with one that accepts credit cards as well. The leased mining services that accept CC payments are heavily regulated and are very likely to be legit, especially if they are located in the United States. The scrypt mining services, ones mining Litecoin, Dogecoin, etc. are the most profitable - They usually can pay you out in any cyrpto-currency coin, including Bitcoin.
I hope that helps!