Timing washers are available from Jules Borel and possibly other suppliers. However, they are rather expensive for just tinkering around. To preserve the poise, four washers selected to correct the error should be added to the balance at 90 degree points on the wheel. Using only two will make it more difficult to poise the balance. In all probability, the error is too great to be corrected by the addition of washers.
Regarding the meantime screws, they are set when the balance is vibrated initially at the factory. I, for one, leave them alone. They are a friction thread and will almost certainly loosen when adjustments are attempted. Once loose, they will never stay in place again.
I would try to get a suitable hairspring and go from there. Ofrei in California has some hairsprings although I don't know if they have any large enough and strong enough for a balance that size. Sometimes they crop up on eBay. Be warned, installing a new hairspring can be tedious work.