Please do not say . Join Ck pool or anything like that..
My question is...Lets say I am solo mining with a small geckoscience usb to a local pool on a local node. Is it possible for such a thing to actually solve a bitcoin block. I have seen my little setup get shares as high as 1.8 million diff. Could I check my local little pool one day and see a solved block?
Yes, even a USB miner can still be successful.
I did hit a block however I was on CK's pool when this occurred with 9 x GekkoScience Compac F's running Kano's version of CGminer on a windows computer.
If you are to really consider mining to your own local full node then the first step I would take is that I would research to make sure you have it well connected to other faster nodes.
Then it maybe even in your best interest to fire up one of those open-source code pools that offer would offer a better starting place like CKPOOL, BLINKHASH, NOMP or YIIMP which will give you a bit more clarity as to what your miner(s) are doing and allow you to grow if need be.
Good Luck!