Welcome from the Communist Count of Montgomery in the Socialist State of Maryland. I'm actually in Rockville/Bethesda and there are a few others here from this general area on the board incl my very good friend
@GBMaryland and
@TheOE800.
As far as clays go...yep, Prince George County Trap and Skeet is public for skeet/trap/SC. Used to be a Beretta club and was actually built by Winchester when gun/ammo companies did such a thing.
Myself and
@GBMaryland shoot out of a local Issac Walton League club in Damascus MD. We have skeet, a trap field (not used very much) and a 5 stand that is open most Sundays, weather permitting.
IWL has rifle and pistol but rifle only goes to 100 yards.
I also belong to Fairfax Rod and Gun in norther VA. They have ranges to 200 and a few lanes to 300.
To go beyond that there is Del Marva over by Cambridge...commercial pay to play range. Also, there is Peace Maker but its a bit expensive which wouldn't dissuade me as they go to 1k, but apparently that range is only open on Wed. I need to get up there this coming warm season to check it out and talk to them directly about range access.
You are in grad school and I'm 70 and retired so I may not be very interesting to you. But please feel free to PM me via this site if you would like to get out and shoot sometime or just want to reach out to someone local re: target shooting.
Cheers