One efficient system to deal with an intervention is the Rubensohl convention. This convention essentially comes down to bidding transfers, but one level higher; the three-level. As for the bids up to 2♠, they become natural and competitive (unless bids of two of a major over an adverse Landy).
Dealer East. South overcalls 2♠.
With 10 HCP and five Hearts West uses the transfer at the three-level. East is happy to correct at the same level – after all, his partner may not want to play game. So, West then gives a choice of games by bidding 3NT and East choses to play in Hearts without hesitation.
Dealer West. North overcalls 2♥.
The Double of the adverse overcall is always take-out and shows a hand with at least 5 HCP. Here, East’s Double allows E/W to wisely fight for the part-score and the excellent Club contract is reached.