In 3rd Strike, you can do Shoryuken while crouching. Do this by holding :d: , and while holding it, tap :f: twice (to get :df: input) and press Punch button. It’s important to not let go of :d: input so that you don’t stand up.
You can also hold :d: and mash :df: , and whenever you press :p:, Shoryuken will come out. This is useful in situations where you want to react with SRK to counter opponent’s poke or dash without announcing it.
Another way is to hold :d: and mash :df: :db: so that you have a chance of block in case you take a hit. But this is more useful against ambiguous crossup on wakeup.
This method is not limited only to Shotos, anyone with :dp: input move can do it.