I have heard that it is possible, probably not the healthiest thing for the goat though. I was told that the best way is to get them bred and let nature take its course.
A lot of people like bottle babies (as pets), and I would think that kids are pretty easy to sell. - you get your money back on the doe.
Its a 5 month pregnancy. Usually 2 -3 babies, possibly - rare 4.
I have a cow that was given (I beleive) too much superovulating stuff so that she would be able to be flushed and then we'd plant the babies in surrogate mamas. She took a long time in regaining her cycling. Her baby is now 3, and she has not bred back although she is in with bulls. She is going to the sale barn. So science can screw up your animal. (not that I'd never flush a cow again, but it can screw up your animal.)