Thank you! I've been working with the GMAT for a really long time though, and it actually took an embarrassing number of years for me to get to the 800.

If you do decide to study for the GMAT again (though I don't think you need to!), I have a feeling that you'll improve just through getting more exposure to good, hard CR and RC questions. If you already have a 40, you probably won't get too much mileage from studying more test-prep techniques, but LSATs will really help you to hone your focus and accuracy. The difference between a 40 and, say, a 44 on verbal is usually only four or five questions, and tons of LSAT practice might help you to get those extra questions.
It'll be harder to improve on SC if you've already exhausted all of the official materials, but sometimes students can still learn from them by taking the time to identify every single error in every single SC answer choice on official questions. It's not fun, but it might help you a little bit if you decide to push for a few more points.
But seriously, you should be basking in the glow of your awesomeness right now.