You have a lot going on, so don't get ahead of yourself, or you'll be playing catch-up, and that's expensive.

On the frame, $60 is not out of line at all. The blasting should get rid of the corrosion, but it's not the blaster's frame, so he/she doesn't really care. I buy a $6 can of aircraft stripper at Walmart and a pack of green pads and strip it myself. This gets most of the paint off, anyway, and gives the blaster the "ease" to tackle the rough spots and not just blast "most" of the paint away. If this is what you plan to do, go ahead and order the decals now. I have no idea about the BMC colors; they change each year.

Once the frame is committed, then you can go ahead and make decisions on the drivetrain. Not sure what shape the wheels are in, or what hubs. I'm assuming they're Shimano hubs laced to Campy Gamma rims. Odd mix, but I've seen it before. Figure you can get some decent newer wheels for $100-$175, but I have no idea if you're going to stay with 7-sp or move up, so it doesn't really matter at this point.

I suggest you STOP.
Now, write this down: "How do I plan to ride, how often, and where, how fast, and for what reason?"
Have a plan. That plan needs to address your choices.
Decide what you want.

Don't let us decide for you; we're not that smart.

Frame first. (I vote for flat black, black-letter decals without the 1ml vinyl). Wicked Cool.

Then decide what kind of riding you want to do. This will determine the number of speeds.
Once that's decided, move on from there.

Feel free to ask questions, but not so many at a time.
I'm old and get confused, and often, one decision makes the next one easier.