There is only one way to do this my friend and that is using a 4 input device.
You have already figured out that the capstan fluctuations/drive motor have minor differences on each pass.
My suggestion is to either send them out to be transferred. However to be quite honest, for the money it will cost to transfer 200 hours (depending on IPS that's more than 200 tapes) some company's can charge up to 30 bucks a tape:
http://www.audiomover.com/transfer-4track-to-digital.htmlYou would be better off buying a 4 input device.
If you don't want to buy a device but want it done right (with good pre amps) just send it away.
There is one other way that people sometimes over look.
Using an older style Digital recorder that has 4 inputs. I had a Tascam 2488 that had 4-8 inputs on it a while back before I switched over to a newer unit (Focusrite Scarlett 18I20). I would use the Tascam to transfer and then burn it to disc.
Also remember if you send it out leave detailed Pitch information. I always ask my customers for IPS info.
Some companies just set it at 1 7/8 and call it a day. you need to be clear you want 3 3/4 and what pitch (what you set the Vari-speed knob at).
Back in those day we cranked that thing up to gain maximum speed/better fidelity.