I like to do things as simple as possilbe and work with the natural laws over technology whenever possible.
Now that we know it's a spring and just terrible bad luck that you built on top of it, I think the only option available to you is to direct the water away from the house as soon as possible before you suffer structural failure from an unstable foundation. Such as the house sinking into the ground.
One thing that I just thought of is your homeowners insurance. I doubt you are covered and asking might cause more problems then it solves. If they find out that you have a spring under your home, they might drop you before it gets to a point that you file a claim against them.
Since the spring is coming to the surface, it's under preasure and you need to release that preasure. Water will always flow to the area of least resistance, right now, that happens to be the surface under your home.
A picture of your home and the setting would help, but regardless, I think you need to do ALLOT of digging. My first thought is an open trench. Big, wide and deep. Decide what part of the house it will have the least effect on apperance and where you can slope it away from the house. Dig it several feet deeper then the foundation and give it a very gentle slope that is very, very wide. I did mention removing allot of dirt. LOL
This might take off the preasure and lower the water table to the point that it allows the water to seep into the trench sideways through the soil without having to go under the foundation. The deeper the trench, the dryer the soil will be under the foundation.
If this fails, it then becomes step one. Next, I'd tunnel under the buiding and put in a drain system that feeds to the trench. It's allot of miserable work, but at least a drain would be constant and never need any repair. Under a house, it also won't need any maintenance.
A sump pump will fail sooner or later and will be a constant drain on electricity.
This is something that you can hire some high school kids to do and pay a decent wage. Hire a plumber or contractor and you are looking at $100 an hour. Pay three or four kids $20 an hour and you'll have it done in a day.
Keep it simple and realize that it's something that has to be done. Just commit to doing it and stick with it. Eventually, you'll get it done, even though it has headache written all over it.
Good luck,
Eddie