Personally I've really enjoy The Old Reader for my RSS feeds. Not really a fan of the social aspects of it and it's not self hosted, which if it's a requirement for you this doesn't fill.

I've used SelfOSS which was fine, but didn't like some of the feeds I tried to import. It's pretty lightweight though and based on your like of Fever this seems like it might be a little too light.

I'm sure I'm going over stuff you've head of with Tiny Tiny RSS, so I won't go into that too much.

A really small shared hosting reseller with decent support I've used for years is Hole In The Wall Hosting. It isn't a big operation but it just works and does what you need it to do, SSH is extra but the plans are relatively inexpensive.