I'll resound Abarne's comment: the Tamiya tape is incredible. For large areas, use the Tamiya tape for your edgework, and then layer back with a masking tape of your choice.
Also, are you spraying or brush painting? If you're spraying the paint shouldn't be so thick that it pools up on the tape...nice, light coats will do.
Make sure you burnish the tape, too.
I can't help you with brush painting, but there are a few on these forums who brush will skill that should be able to help you out with tape.