Probe Mines

So this is possible....Devico retriever

http://www.devico.com/services/directional-core-drilling/

I think you can collect 11 metres at a time.

or try

http://www.devico.com

Not sure how far you can go

One big advantage...drilling under the lake instead of through it....going through requires cementation ! Other wise water will find a way in when you mine.

Good luck