Transparent Fresnel Shader Sometimes Obscuring Objects

I'm working to make a transparent shader with a glowing rim around the outside. The goal is to be able to see everything behind my transparent object. As can be seen in my attachments, objects behind my capsule are sometimes obscured in odd ways.

I started with the rim lighting shader from here: http://docs.unity3d.com/Manual/SL-SurfaceShaderExamples.html

Here's where I'm at now:

 Shader "Custom/TransparentFresnel" 
 {
     Properties 
     {
       _InnerColor ("Inner Color", Color) = (1.0, 1.0, 1.0, 1.0)
       _RimColor ("Rim Color", Color) = (0.26,0.19,0.16,0.0)
       _RimPower ("Rim Power", Range(0.5,8.0)) = 3.0
     }
     SubShader 
     {
       Tags { "Queue" = "Transparent" }
       
       Cull Back
       Blend One One
       
       CGPROGRAM
       #pragma surface surf Lambert
       
       struct Input 
       {
           float3 viewDir;
       };
       
       float4 _InnerColor;
       float4 _RimColor;
       float _RimPower;
       
       void surf (Input IN, inout SurfaceOutput o) 
       {
           o.Albedo = _InnerColor.rgb;
           half rim = 1.0 - saturate(dot (normalize(IN.viewDir), o.Normal));
           o.Emission = _RimColor.rgb * pow (rim, _RimPower);
       }
       ENDCG
     } 
     Fallback "Diffuse"
   }

I've tried fiddling with different culling, using Blend SrcAlpha OneMinusSrcAlpha, using ZTest with just about every setting but none of that has worked so far. I'm no expert at shaders, but I've read through most of Unity's documentation and used Strumpy Shader Editor a lot so I'm familiar with the language and concepts. Any pointers would be greatly appreciated.