Bloom and Anti Aliasing banding

I am trying to add a glowing effect to my scene. As far as I know the best way to do is with the a bloom filter using the EffectComposer. Unfortunately using the EffectComposer negates the beautiful anti-aliasing that comes with the renderer. I added a SSAARenderPass but it causes banding even with unbiased set to true, and sampleLevel to 32. See attached pictures below.

I ran across this discussion dealing with a similiar issue: Effect Composer Gamma Output Difference - #23 by Mugen87 and I believe I integrated the discussed solution, by explicitly creating a RenderTarget for the EffectComposer that has type set to THREE.FloatType. This definitely helped, but I still have some pretty noticeable banding.

How can I have a glowing effect and preserve a clean render without aliasing or banding?

const pixelRatio = renderer.getPixelRatio();
const renderScene = new RenderPass( scene, camera );
const bloomPass = new UnrealBloomPass(new THREE.Vector2(window.innerWidth, window.innerHeight), 1.5, 0.4, 0.85);
bloomPass.threshold = 0.9;
bloomPass.strength = 1.5;
bloomPass.radius = 0.15;

var ssaaRenderPass = new SSAARenderPass( scene, camera );
ssaaRenderPass.sampleLevel = 32;
ssaaRenderPass.unbiased = true;

var adaptToneMappingPass = new AdaptiveToneMappingPass(true, 256);
var gammaCorrectionPass = new ShaderPass( GammaCorrectionShader );

var renderTarget = new THREE.WebGLRenderTarget( window.innerWidth * pixelRatio, window.innerHeight * pixelRatio, 
{
    minFilter: THREE.LinearFilter,
    magFilter: THREE.LinearFilter,
    format: THREE.RGBAFormat,
    stencilBuffer: false,
    type: THREE.FloatType
});
renderTarget.texture.name = 'EffectComposer.rt1';

composer = new EffectComposer(renderer, renderTarget);
composer.addPass(renderScene);
composer.addPass(ssaaRenderPass); //Seems to be better than fxaa but has terrible banding
composer.addPass(adaptToneMappingPass);
composer.addPass(bloomPass);
composer.addPass(gammaCorrectionPass);

This is with no SSAA or Bloom. No banding but terrible aliasing

This is with Bloom but no SSAA. No banding in the background, though there is in the bloom effect

This is with both Bloom and SSAA. The aliasing is better but the banding in the background and bloom is bad