Being stuck with a "static range" certainly limits your options. I am guessing it might be a bit difficult to work on stage planning and execution beyond the very basics. Besides not being able to move, are your stuck with one target? If so, transitions are out of the question and that really sucks....what is the best use of my time at a static range?
Dry fire is definitely a huge part of any USPSA training regime. Get the videos, books, etc., of your choice and get busy. I am partial to Saul Kirsch's materials, and Ben Stoeger has some great materials. Stoeger's new video where he re-visits the fundamentals is a must see. Both of them have good dry fire and live fire drills on video and in print form. If you primarily shoot a production gun with open sights, go with Stoeger. If you shoot an open gun with a dot, Kirrsch gets the nod. Just my opinion.
As for static live fire, I suggest the draw, and reload drills using a reducing par time approach. Also, learn to shoot weak hand only and strong hand only. Firing strong hand or freestyle, reload, transfer gun to weak hand and fire, is a good skill to have. Good luck with your endeavor. Making GM through the classifier system will require some pretty salty gunslinger skills. You need to be fast, really fast. You also need the hits. Performing (match performance) at the GM level requires the whole enchilada.
After your first 4 classifiers, you will have an intitial classification. Assuming your initial classification isn't GM, you can go to Area and/or National matches and move up to in classification by opening up a real can of whoop a$$. Take a look at page 8 of the classification manual for an explanation of the system. GM is a lofty goal. Good luck.