We use Quad Xeon 3.2Ghz with 8/16GB RAM servers on 100 mbps ports. On shared hosting this is what the bulk of customers are willing to pay for, so going in for faster server is not feasible at this point.
If optimization of your default page for size reduction, is not an option and you cannot afford a dedicated server, we can offer you an in-between solution. We can move your domain to a "Semi-dedicated" package.
This will enable your domain to have dedicated server resources, higher port speeds, tons of RAM and SSD drives. We do have server with custom techologies other than LAMP that provide a highly improved perfromance.
Lastly, we can route your visitors through a CDN like CloudFlare, Amazon CloudFront and/or Akamai. Please contact us for more information.