If you cannot run a pipe to daylight, which means just getting rid of the water by gravity. Then you really have no choice but a pump. This is an obvious underground spring issue if it is constant.
I see this as a good thing if you can harvest the water for outdoor use and flushing toilets. heck, you could have it professionaly tested and be able to drink it if there is no bacteria.
But to answer your question.
Install another pump into a similar hole, this allows you to spread out the use of each pump. Have a professional company do this so they can size the pump for the amount of water you get.