From what you say, and the occasional sync at 3.7 or thereabouts, it does sound like a 3000 profile is what you're going to get.
If you want a higher speed, you may get it by improving your wiring if it's not already perfect. For example, if you have extension wiring, then just disconnecting the ring wire can make quite a big (in some cases huge) difference. For detailed advice on wiring improvements, see:
http://www.kitz.co.uk/adsl/socket.htmIf you embark on that tact, one thing I always warn off ('bin bitten myself!) is to go slowly with any experiments. If you resync your router too many times too quickly (possibly ten times in a single hour), BT's Dynamic Line Management (DLM) will assume your line's unstable and increase it's SNR margin, resulting in a big drop in sync speed. Play it safe, try one thing at a time and, between each experiment, distract yourself by watching at least one complete episode of whatever's least boring on the digital TV channels.