I have the highest elite status in both the Star and Skyteam alliances, but I often fly coach internationally on Oneworld (thanks to AA and BA credit card offers). In the next 6 months, I'll fly more than 30,000 miles on Oneworld carriers (mostly LAN and AA) on free tickets, and I'll have my family with me on most of these trips. As we'll have several long layovers, we could really use some lounge access.

What would be the cheapest way to get this access? I once tried a status match on LAN, but they rejected me (I think because I couldn't show that I bought enough tickets on them, which is certainly true). Are there any other easy-to-get status matches? Or some promo that gets me a lounge membership cheap?

Thanks!