Technos ARE rough, especially in Priority. For this reason, I generally follow the following min-maxing rules for most of them:
1: Always take Prototype Transhuman, so that you can get Narco/Nephritic without losing Essence. You can even get Cerebral Booster (1) and still keep 6 Essence.
2: For the Bioware, you need Priority D in Nuyen, and probably also to take In Debt (4-6 or so). So you end with around 70k, which is a solid start, and IMO gets you more than the extra Edge.
3: Cybercombat is not so important, and neither is Electronic Warfare, so lowering those would allow switching Technomancer to B or even A.
With Narco and the use of Psyche, plus the So Jacked Up quality, you can play with a regular +1 to Initiative and +3 to Logic. Combine with the Cerebral Booster and you're maxed at +4 to Logic. You do have to drop Exceptional Attribute, but the extra bonuses from the drugs are probably worth it, especially if you're going with Techno-A and Attributes-B. You also get to use either Cram (if you like a cheap long-duration solution) or Kamikaze (if you like a more expensive short-duration but much higher stat boost), for physical situations.
Also, another idea is to get Gunnery at a decent rank, and buy a Dragonfly (Ares Sparrowhawk version). Rip out the pistol that it comes with and put in a Taser, then stick 2 Machine Drones in it for the Diagnose boost, and you can have an absolutely ridiculous dice pool for both shooting actions and defense pools, which gives you something to do in situations where the Matrix is not very relevant. An equipped Dragonfly is just around 5-6k, depending on what sensor upgrades and such that you get for it. With Logic 10 and just Gunnery 3, you're rolling at 18 dice with it (Diagnose doubles your skill pool, and you're going to get a Smartgun link for it), and that's if you're going in AR. It would be 20 in hot-sim.