I wouldn’t recommend using stainless steel. Use a 4140 chrome molybdenum steel or a high carbon steel such as EN24 & heat treat to achieve the required torsion.
4140 is in the range of 0.37% to 0.43% carbon but this is an American spec steel & more expensive than the EN range of steels here in the UK. EN19 is a chrome molybdenum alloy equivalent to 4140 and so is useable for the kind of hardness required.
EN24 is a high carbon, nickel, chrome, molybdenum steel alloy, very similar in composition to 4340 & has a general carbon level of 0.4% & is ideal for heat treatment & the preferred choice where applications demand high strength & resistance to shock.
0.4% carbon steels can be hardened to a maximum Rockwell "C" 44 but above 46 they become to brittle, 38 is about the minimum hardness for anti roll bars & this will give a tensile strength in the order of 170000 psi to 194000 psi. Without heat treatment it could be as low as 70000 psi. However, generally, hardening and tempering to anywhere in the range 38-44 will do the job.
Deciding on the material spec for the anti-roll bar is not the only consideration. Other important factors to consider even before parting with your hard earned cash are: centre of gravity height; roll centres; roll rates; roll couple distribution; spring rates; anti-roll bar rates; shock absorber rebound/compression rates; bushing durometer ratings; tyre size, suspension alignment specs .... the list of interacting variables is endless.
The only job of the anti-roll bar is to handle roll resistance & this can be determined through the mathematical formula:
R = [(pi)(G)(d^4)] / [(16)(b^2)(L)
where R is the roll rate in pounds per inch, pi is 3.14, G is the modulus of the material; d is the diameter of the bar; b is the length of of the roll bar arm measured from centre to centre; and L is the length of the anti-roll bar.
Generally, the diameter of the bar will have the greatest effect & small changes in bar diameter result in large changes in anti-roll bar rate since it varies as the fourth power.