This app was mentioned in 16 comments, with an average of 1.44 upvotes
A game like dungeon hunter https://play.google.com/store/apps/details?id=com.gameloft.android.ANMP.Gloft5DHM
incorporates a bunch of buttons. I thought it had a d-pad as well but it doesn't show in the screenshots. That would work for a game like yours.
dpad/v-joystick for movement and orientation, buttons for firing. alternately, 2 dpads, one for orientation, one for movement and a single button above the orientation to shoot. could be tricky to use.
Dungeon Hunter is a cell phone game series that came to the vita. i'd avoid it. Here's Dungeon Hunter 5 on google play.
I cropped the image to just the game part and reverse Google Image searched.