Check your bushings. If you have lots of slop the steel/rubber bushings are probably worn out. There are also bearings on either side of the frame that the steering levers pivot on, these can wear over time giving slop.
The best bet is to pull the chain out, have a look at the sprockets and if they look ok, just replace the chain or install a con-link if it seems ok. Be VERY careful poking around the sprockets with your hands, they can get like razor blades, been there, done that before.....
You may be lucky enough to get far enough back with just the front inspection cover, but i don't like your chances.
There are two schools of thought for working ont he chain case. You can leave it on the machine or seperate it for ease of access. Its not as hard as you may think to remove it. Two bolts to the front of the pump, lift pivot point and the bolts on the side of the chassis, about 10 bolts/nuts. Lift the frams off the chain case and roll it out. It will give you easy access, you can even change leaky axle seals if they need to be done.