Although generally no specific high RAM, low disk space VPS' are advertised on providers web pages, its not unlikely to request a custom quote and it be lower then there offered 2GB VPS package. But with a budget between 50-70$ you wouldn't have an issue finding a VPS with 2GB RAM even with normal resource allocations.
Ping to Singapore however? Well thats another story. There are quite a few west coast providers I'd imagine who get good connectivity to Singapore. You would have to request some IPs to ping.
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