Hi! Boy, do I remember those days, and hopefully I can help
First, remember that it's not how deep you go, it's how you go deep. It's very common to think that "the deeper the better", and you might feel a certain sense of urgency when you have such a short amount of time with each client within which to produce as much result as possible. In situations like this, the tendency is to work more deeply, and to spend a majority of the time doing so.
I'm not sure what training you've had so far, so please forgive me if anything I suggest is redundant or elementary
First, if you haven't taken a formal class in Deep Tissue, please don't wait to do so! After that, if you haven't already done so, ask around; your fellow MTs will probably be happy to share some of their favorite techniques with you. Next, I would try to find a good meaty (and probably lengthy) class on St. John-based Neuromuscular Therapy. This class will show you how to relax entire muscles by working slowly and specifically, and also applying static and multidirectional friction to muscle attachment sites. I do this with thumbs, switching techniques at the first sign of ache or fatigue (though if you don't go real hard--which you don't need to--then you can use your thumbtips for quite a while. Make sure to use both together so they support each other).
Also, if you haven't, please consider some training in Trigger Point Therapy and the gentle version of Myofascial Release (not the Grasten (sp?) technique, which is often unnecessarily painful!) You may also want to consider investing in a tool such as the Thumper (or one of its cousins) to help do some of the work for you (and it feels really good to the client, too!) or using some Hot Stones. (For Hot Stones, keep them heated in a warmer full of in hot clean water, and dry them off beforehand to work through clothes. If you get a good set of heat-retaining stones and you keep them at a good temperature, this can feel REALLY good to a client. I almost ALWAYS use Hot Stones (either clothed or unclothed) before doing any deep work. It provides about twice the benefit.
As for your wrists, ice is good! What really saved my behind was a homeopathic remedy called Arnica gel. I think you can pick it up at most health food stores. I remember being instructed to rub it externally only on the affected areas up to 4 times per day. They say it's good for soreness, stiffness, pain, etc, in the muscles and joints, so it seems like a good bet for us MTs
And always remember to stretch, if you're not already
Well, that about does it, at least what I can think of. Both my eyes are not yet open, so hopefully I made sense and didn't duplicate anything that's been said
I'm so glad this position is going well for you!
Hugs,
~Jyoti