Socata TBM 850 pilot reported loss of control during cruise when autopilot turned off. Pilot disconnected autopilot trim and servos; regained aircraft control and continued flight.

Narrative

I was on the assigned routing heading to ZZZZZ and had asked for a higher altitude for 280 to get out of a layer that was continuous moderate chop; this placed me in much smoother air and instead of constant IMC; I was then in and out of clouds with only mild chop. No significant radar returns other than sporadic green. Began to have some light intermittent chop and very quickly encountered moderate turbulence while in IMC I noticed that the Autopilot had turned off; I don't recall hearing the audible tone that sounds on the GFC700 system but I do recall looking down because I felt a change in pitch of the plane; noted to be about 8-10 degrees down and roughly in a 30 degree bank to the right; airspeed had increased from indicated airspeed on the tape of 185 to 210 and I pulled power back to idle; leveled the wings; pulled back on the yoke slowly. I was met with quite a lot of resistance. I then hit the disconnect button on the yoke and turned off the trim/servos on the overhead panel. I was able to regain better control of the aircraft with normal input pressures. I reached over for the emergency checklist in the cubby above the copilot Primary Flight Display (PFD) to run it for pitch/trim problems...when I reached over for the checklist and holding the disconnect button I believe that as I reached to the right that this is when the right turn happened more pronounced. I was able to finally stop the descent and regained altitude control back to 280. This is when I was able to communicate with ATC. Until then I was too busy regaining control of the aircraft; trying to navigate back to ZZZZZ figuring out where it was on the map and started running a checklist to try to figure out what was going on. I dropped a total of 1500ft in a very short period of time (probably 30seconds roughly and was 90 degrees off course to the right. I did not see an error message on the CAS system for a pitch/trim error. But after restarting the Autopilot trim/pitch/servos overhead on the panel I did not encounter another problem on the trip. I have had the Autopilot kick off in turbulence previously one time but never had to fight the trim/pitch before. It was very unsettling and left me shaken. I lost quite a lot of sleep over this last night replaying it in my head. I unfortunately don't really know what more I could have done to prevent this but I am glad that I have had the hours in the plane that I do have hand flying especially and the simulator time for training. The instinct and training kicked right in to help a very stressful scenario.