To be safe, with regard to bullet stability, I'd go 1-12tw. I'm a big fan of the 53Vmax and even though a Swift will launch them at a pretty healthy speed, maybe, stabilizing the 53's with a 1-14, I'd still rather be safe than sorry. Personally, if I were building a 220 Swift a 1-12 would be the minimum I'd go with but I'd also Ackley Improve it, too. Not only for the sizable increase in case capacity but for the improved case life. If I wasn't going to go Swift AI, I'd seriously contemplate just building a 22-250 and use Lapua brass.
How are you on 220 Swift brass? I have a local place that has new Winchester 220 Swift brass in stock. I don't have a Swift but I picked up a bag of 100 last weekend just in case I ever get a wild hair to build one. I don't know if this is a good or bad price but I paid $60, including tax, for the bag of 100. If you need any let me know and I'll pick some up for you.