I recommend using Google Cloud - it's fast and you can use it free for a year.
The only downside is the setup because you would need to deploy a virtual machine and configure some stuff.
I'll explain how this works, but I can't share links because my account here is new.
You can get a $300 coupon just by adding a payment method in the Google Cloud Platform (console . cloud . google . com)
Next, you need to either read and follow some guide online or hire someone to deploy a Bitnami stack, specifically the WordPress with NGINX and SSL one.
I recommended that you visit Bitnami's website and register to be able to easily deploy to Google's platform.
The WordPress pro Bitnami stack is basically Linux + NGINX + Let's Encrypt + PHP 7.1 + phpMyAdmin + MySQL + WordPress.
I'm probably missing something but in short, this will install everything you need to run a fast WordPress install.
NGINX is marginally faster than Apache, you can read online.
Many hosting companies still install old versions of PHP like 5.6 (even 7.0 is old if you are looking for the best performance).
Anyway, back to the plan.
You can deploy this Bitnami stack on a "standard" virtual machine size, meaning it would cost around $26 per month to run.
The coupon you claimed will be enough to pay for around 11 months.
Even if there was no coupon, this is a way better deal than any hosting I know of.
This one machine can hold multiple WordPress websites and the performance you get from Google is better than WP Engine or anyone else claiming to be the best WordPress hosting.
Of course, traditional hosting companies will do backups and offer support while you are on your own when using Google's platform.
If you really have 60,000+ visits you would surely make enough money to pay someone on Fiverr to set the hosting.
After all, this will save you 11 months of hosting expenses.
Hope this helps you somehow
I can give you more info and links with step-by-step tutorials if you are interested (PM me).
