The only thing I can think of is trading physically with both the buyer and seller face to face.
Buyer pays cash and seller sends the BTC instantly in front of him. If you want buyers who will accept cash and sell you personally, localbitcoins is a perfect place to hunt for. Other than localbitcoins, here in this forum also you may find your country folks through currency exchange board.
This is the nearest possible way if you do make transactions,peer to peer would be the best way if you don't like to use paypal and as you said localbitcoins would be the best place for this one.It would be an advantage for you if there are people who resides near on you to make transactions.If you don't like paypal then better to use other service and at the same time on make use of escrow.