Velvets- For some reason I was thinking it was actually against the rules to approach the judge without permission from the steward but I just skimmed through the rulebook and can't find anything! (i skimmed pretty quickly though). If it's a smaller local show you could ask the barn hosting the show if you could look at the judges cards. I know you definitely can't do it while the show is taking place but afterwards some places might give you permission. It won't be as helpful as getting a card back from a dressage show but it will show you which distances you missed/did well, if you missed any changes, any notes the judge added in relation to the other people in the class. After shows at my barn I always sneak into the office and read the cards for my students! FYI though, judges use symbols in the card instead of written out words so unless you know what the symbols mean it might not be as helpful as you think.