I was taking 300 mg of Neurontin (gabapentin) daily, and yes, it sure made me sleepy and made it hard to focus!
I talked to my doctor, and instead of the 300 mg tablets, he gave me 100 mg tablets. I like it so much better--I can start on a lower dosage, so it doesn't take everything over! I usually now take 200 mg at a time, instead of 300 mg. Once in a while, when things aren't bad but I still need something, I'll even just take 100 mg.
Maybe that's something you could discuss with your doctor, too.
Best wishes and also welcome!