Standard 20" GT factory wheel, tallest tire?

[Interceptor]

Original tires are going fast so I will need new tires soon. This question is for REARS only.

I want to go with largest, highest, tallest, whatever you want to call it tire.
Basically I want to fill up fender well as much as possible. Higher rake in rear.
Car is stock, no suspension changes. Do not race, I only use for commuting.

What size 20" tire would I be looking for.
Also if I run stock size on front will it confuse the anti lock brake computer

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[Interceptor]

Stock GT 20" wheel is 9" wide

Stock tire. 265/35/R20 diameter 27.30 width 10.43. sidewall height 3.65"
275/35/R20 diameter 27.58. width 10.83. sidewall height 3.79"
265/40/R20 diameter 28.35 width 10.43. sidewall height 4.17"
275/40/R20 diameter 28.66 width 10.83 sidewall height 4.33"
275/45/R20 diameter 29.74 width 10.83. sidewall height 4.87"
I know a 275/40/R20 will work, and is available in Firestone Firehawks.
If I understand this correctly this size will increase sidewall approximately .52 which is 1/2"? So that is half an inch all around for a 1" taller tire than my current stock front tire. And would fill the fender well some.

Would I notice the rake of car from this side with 1" taller tire in rear than front?