50k per day is not much and you can host it on hostgator baby plan if your site is coded right
also don't forget to use
cloudflare saves loads of bandwidth and computing power.
(vps is usually worse then shared hosting, especially if you buy cheap one)
You can already get dedicated server at ovh.us for around 30$... I'd go for that (if you don't need much traffic cos it's 5TB limit). But you got unlimited traffic already for 80$/month... If you got 50k per day im sure you can afford it.
Regards