Leverage caching while your at it. And it would be highly beneficial to move to FastCGI (php-fpm).
VB should support the 3 main caching methods for PHP. Opcache, memcached, etc.
Lastly, the latency seems fine but other than the forum script itself, it would do just fine on a VPS if on a budget. I don't know how it is performing as of current, but keeping a note on the CPU usage and database load will direct those in charge in a solid direction.
I would personally TAR/GZ the entire www root, so you retain file system permissions and extract that on the new hosts disk (so you rid yourself of CHMOD duties later). It saves a great deal of time.
God luck!