I ask 1 of my friends who has a Thai Bank to make the transfer for me. I give them cash, they transfer the money, they send me the transfer receipt, and I forward it to my agent/landlord for proof.
As for for Electricity and water you can ask a friend to stop by and get the bill to pay it while your gone. I haven't tried it but maybe you could pay an extra 100 baht or so on your next electricity and water bill to see if it stays on as credit. If it does and you plan on being gone for 2 months put a little extra on it before your trip and don't worry