First, don't want to get your hopes up, but as far as running multiple simulations quick and easy, I cannot help you. I cannot give you a quick and dirty answer; others may be able to help. However, if you are interested in some "ways to get there," I offer the following:
I've been scraping data using R (a scripting language much like Python and easy to learn) using techniques I learned from Robert Frey's youtube channel. He does a good job walking you through step by step to scrape both Fangraphs and Savant data. I know you are already doing it, but I did it your way in Excel and found this to be far easier. The reason I prefer this to using Excel is that it's very quick and easy to change parameters to get or add new data. It's much faster than using Excel to link to data.
Andrew Mack has two books on Amazon: Statistical Sports Models in Excel Volumes 1 and Volumes 2. You should probably check them out. I can't say for certain they have what you are looking for, but they may give you some ideas. I like buying the Kindle editions because you don't have to wait for them to be delivered. You can also follow him on Twitter u/Gingfacekillah. I have found that most people are willing to offer some free advice if approached in the right way.
Lastly, this course is a free on Coursera. I BELIEVE he covers automating executing multiple simulations. If he doesn't, I'm quite certain that somewhere in Coursera there's a course on how to do this. I hope this helps in some way. Good luck.