HU, short stack, big blinds

[Absolution]

I'm running into a common situation here on low limit SnGs. I usually make it to the final 2, but sometimes I'll be shortstack against a maniac who built up on lucky all-ins. Anyway, they always try and be super aggressive at the end and it's annoying to play against. It feels like pure luck. They'll raise every pot trying to steal the large blinds while they eat away at you. Obviously I loosen up quite a bit here myself, but is there something I can do besides just go all-in and hope when he raises or re-raises me? He obviously wants to reduce the game to luck and I might just have to comply.