Flew an SR-20 Cirrus from Fargo to Miles City Montana (no de-ice on the SR-20). Intended destination was Billings. Cruising at 6000 IMC with a forecast freezing level of 8000. 40 miles east of Miles City I started to ice up, climbed to warmer temps (3C) at 7000. Closest IFR approach was Miles City. ATC restricted my altitude at 7000 and as I descended with a load of ice I considered the parachute (ballistic chutes are installed on Cirrus aircraft). Controls got jammed with ice and as I pulled the elevator free, the plan snapped into a spin. I lost about 3000 feet in 45 seconds as I tried to get the aircraft flying again. Power idle, mixture cut-off, hand moving to pull the chute, when I drop into VFR and the ice started to fly off. Got the dirty side down, put the mixture to full, added power and flew to Miles City VFR. Sat there for two days for the weather to improve before flying on to Portlans OR.