Boy, you have a lot of questions. Let me see if I can answer them all:
Is there anything I can
do to determine or narrow the field of possible
causes in order to determine proper
Your vet can rule out a lot of possibilities with a simple exam.
Is arthritis a possibility?
Arthritis is always a possibility and is a little harder to diagnose.
any medications to reduce joint swelling?
There are a lot of great anti-inflammatories that you can discuss with your vet. Most have limited side effects and provide a great deal of relief for your pet.
How may I obtain them?
Your vet can help you to choose the right one. They are only available by prescription.
Can her knee
be wrapped with an ace bandage for periods
of time to assist in the reduction of stress to
the joint and soft tissues?
I would not recommend this. You could do more damage than you might do harm if you try to do this at home.
Swelling can more effectively be reduced by using anti-inflammatories and steroids.
Does this answer most of your questions?