We picked Infinity Expert up for our server while our custom pack underwent a retrofit. I likely have the most patience of our group, but when I realized I spent more time in the crafting grid making a machine than it took to walk to our mines, find the ores I needed, walk back, and process them, I'd had enough.
Not knocking it. It is what it is. It's just not for me.
As stated, Botania is the entry to the magic side, and everything is built off it from there. I know you enjoy TC, but if you hate Botania, you likely wo t enjoy the TC experience in Infinity, as it relies heavily on a Botania infrastructure to support it.
The QED is needed for the tech side, and felt like an actual achievement to finally put together. It did take running our Assembly Table and Lasers overnight on the server to make the Resonant Machine Frame, which put me off significantly - I don't get much time to play, so I don't like time as a gating mechanic. The Culinary Generator was a godsend for us, as power in the early stages is a commodity. If it weren't for Stuffed Eggplant, we would have starved and had no power for a while. Not saying there aren't more options, but Pam's + Agricraft made it an obvious choice.
I have no love for IC2e. The fact that all the tech side goes through that mod was a major turnoff for me. I can't help but feel you would be as dissatisfied with the Botania relationship, but then it's best to keep an open mind and try it out. Worst case scenario, you aren't bored for a week then you delete everything. Best case scenario, you learn to enjoy (or at least respect) the mods you disdained before, and play more hours than we all care to count in a new pack.
Good luck. Have fun.