Genuinely intrigued that runners without a running watch exist?
How do you train?
There's a high level trail runner in my area that doesn't use any technology to train or race (he also races in scandals (he virtually always podiums the local races and does quite well in larger competitive fields too)). His ability to gauge pace, time and distance is remarkable. We will quiz him thirteen miles into a trail race on pace/distance/time, and he's always remarkably accurate. However, he's a former competitive DI runner, so he did train with some technology at one point.
To the OP's questions: I'd up the budget just a little bit and get a refurbished vivoactive 4S. You can also sometimes find fairly good deals on used stuff on places like ebay.