Ok. Where to begin. Firstly we will stipulate that there is a force in the Solar System capable of bringing our planet to a complete stop. Setting the orbits of all the planets to one of circular would also infer that the relationships between each planet and the ecliptic plane would be set to zero. Like marbles rolling on a flat surface. 65 days would sound just about right if you ruled out the problem of the Sun's gravitational effect on a now stationary object. That far from the Sun; So much inertia to overcome; that's going to take time for the Earth to reach terminal velocity. But it eventually will. Now that the planets are on the same plane, the gravitational effects of Venus and Mercury, would come into play. Maybe no so much with mercury. If we are lucky Venus may not be an issue, but Mercury on the other hand, maybe too small to have much of an influence on our flight path, but it's orbital period would allow perhaps a chance of collision. But, I don't think that will be an issue, as we all would be pretty much barbecued as we pass the orbit of Venus. Since we were rendered motionless, our own gravitational field would have been weakened, as such, most of our atmosphere would gradually "leak" into space. With our atmosphere almost depleted, Solar radiation, would pretty much finish us all off long before we hit the Sun... Then the alarm clock goes off and we wake from a terrible nightmare... That was fun. Let's do another one...
Hmm... a 700 day year scenario. Too difficult to calculate. The only parameter given is that the planet "is not Earth". The size or mass of the planet will play a huge part in said planet's demise... In either case, the only winners in either theory, will be the manufacturer's of Sun Screen Lotion... I wonder what SP factor will be required? lol