What exactly is wrong with your pitch control on yours? I have a couple of SL-1100A that have a similar pitch control and every 10years or so they start acting erratic. I spray some Deoxit down the shaft and they start working correctly again, so you might try that. I don't believe the pitch controls are available any more, at least not from Technics. I also don't think that the pitch controls from the 1100s fit the old 1200s. This subject came up once on the audiokarma turntable forum. A guy was trying to replace the pitch control on his 1100 with a 1200 pitch control, but it wasn't the same. You might want to go over there and ask him if he still has the 1200 pitch control.
I think what he ended up doing was putting the good pitch control he had left and wired it to the 33 rpm side and just used his turntable with Serato since you only use it at 33 rpm.