If you are prepared to manage these are yourself, feel comfortable doing so, and your tech stack won't benefit from the AWS tools too much, using a VPS might be the way to go.
That said you're going for MVP - and you have 6 months to do it. Get going, move fast and break things!
You could also host on VPS and use parts of AWS e.g. S3 if you require asset storage, like photos, videos or other files.
Do you have much insight into what your infrastructure will look like at the start?
While your building up; you may switch to AWS once you need more scaling ability. But if you pick some hosting provider like Internap you can get hardware pretty fast and will be cheaper in the longrun than any public cloud.
Sad; classic hosting is now trying beat the public cloud. The public cloud is trying to get everyone on it and kill classic hosting.
It will never die however; because even Amazon needs a datacenter.