You could do what I did, which was to have all the non-chromed parts chrome plated. In other words, the (new) seat post, clamp, cranks and crank hardware, sprockets, chain tighteners and wheel bolts/washers. They’re all small parts, and the hardest part about doing that should be finding a company that does custom plating.
Then look for a chrome chain (you might need two).
For wheel replacement, if you keep the original hub you just need to choose a 28 hole rim you like, and match tires accordingly. My Giraffe still runs a Schwinn whitewall, which hasn’t worn out yet due to a combination of low mileage and 28:27 gear ratio.
I think it’s 28:27. Toward the end of production, Schwinn started making the bottom sprockets with one tooth less than the top one. This kept the wheel from wearing always on one spot. You might be able to get one of those from Tommy Miller (The Unicycle Factory) if there are any left. 765-452-2692
Then chrome it. 
For seats, all the KH seat variations fit the Schwinn bolt pattern. For white, check with Semcycle. They used to have white covers (there’s one on mine). Or Tommy Miller to see if he has old stock.
For posts, I think the Schwinns were either 7/8" or 1". It’s a well known size in any case. The original equipment post was 13" (with no holes). My Giraffe came with a 13" post with adjustment holes. I later replaced it.
For bent frame, try bike shops that do that sort of thing. The danger is in making it weaker by unbending. You’ll want somone who’s a professional at at that, and I assume they heat things up before trying to unbend. If this doesn’t work and you need to get it re-welded, I highly recommend adding some gussets there so it won’t bend in the future. Then add it to your custom chrome order!
Or seek a replacement frame on eBay. Used Schwinn Giraffes still turn up there on a fairly regular basis.
For bottom bracket, usually cleaning and re-greasing is all you need. The parts in there are probably findable through older bike shops or online, but they probably just need a good cleaning and re-greasing.