Hi,
A) Getting control of the problem
1)The first thing to realise is that this can get much worse. You need to treat it
2)You should be icing the wrists every day, pref immediately after you do anything with them
3) Try taking 4 Advil (ibuprofen) before going to bed for a couple of weeks
4) Do your wrist braces have a metal bar, or some sort of solid support? Helps
5)*Any* activity that makes a serious demand on the wrist has to be stopped for a while. I suggest going to a gym, and using the exercycle,or jogging machines. Failing that, get a trainer or rollers -and- raise your handlebars about 3 inches. This is a minimum, you need to get every bit of stress off those wrists.
6)This will take a while
B) Managing the condition
1) OK, a couple months have gone by, and they are feeling better.
2) If you haven't raised your stem, do so.Make sure the grips place the wrist in a natural way. Gel gloves. A traditional bike is also a possibility for a while.
3)Ice wrists after every ride,build the miles up slowly.
http://www.rivendellbicycles.com/html/rr_raisestem.html