If think what your asking is at what speed would we need to travel around the Sun for us to experience centrifugal force of the same value of 1 G given a flat disc facing the Sun probably in a tidal lock?
OK
Fc = mv^2/r,
Fc = centrifugal force,
m = mass,
v = speed,
r = radius. (149,600,000,000 meters)
On Earth the force the Earth exerts on our feet is 9.8m/s/s times our mass (not weight).
Substituting that for Fc we can cancel the mass on the other side of the Equation and on the G side leaving:
9.8m/s/s = v^2/r
v^2= 9.8x 149,600,000,000
v^2=1466080000000
v=1210817
is a 9 day year
I think (its been a while and I'm rusty!) you would have to increase the speed therefore decreasing your year by a lot to negate the Gravitational attraction of the sun which is actually keeping you in orbit.
Hope this is what your after
Riles