1982 was the last year for no computer, 1983 models got a computer and depending on where it was sold may have had some controls on the carb also (seems to be a split year) but it's easy to remove all of that on the later models. If you don't want electronic ignition you have to go back into the mid-1970s but that gets you into the old points-style ignitions and the narrow track axles. I think but electronic ignition is ok.
If your a prepper like a friend of mine and worried about an EMP for Solar Flair which is what your question kinda makes it sound like, then get you a 1981-up with the wide-track axles, if it's a 1983 or later remove the computer via the nutter by-pass which will remove the computer and any sensors and electronics on the engine, then do the team rush ignition upgrade and distributor upgrade and find the thread on here by JeepHammer about adding extra ground wires to everything. After that all you are left with is the ignition control module, which you want to keep. You don't really want to deal with a model with the old points-style ignition. The ICM for the ignition is relatively stable, especially if you follow JeepHammers instructions for adding extra ground wires to it, and make sure the case is grounded as well. Then if you want to be extra protected just carry a spare ICM that is not plugged in to power that you can switch to if your main one goes out, they are only about $30 and there are plenty of places on the Jeep to keep a spare (or two if your really paranoid) mounted.
Just be aware that if you try to register it in California (remember; Texas claims to be like a whole other country but California thinks they ARE a whole other country) or another state where they are really strict on emissions and do not allow modifications that it may not pass the inspection. In most states (including MS where your tag says your from) your fine with this.
~ SouthernGypsy's Jeeps ~
2004 Jeep TJ Rubicon 4.0L/Automatic
1983 Jeep CJ-7 Limited 4.2L/5 Speed