Go to eBay. Search for Timex HRM Trainer. From around 2005-2015, Timex made a line of HRMs called Road Trainer, Race Trainer, Personal Trainer, Easy Trainer, etc. You can buy one of these older HRMs with a chest strap for $30-$50. The really old models had a hard plastic transmitter about a foot long. The newer models have a smaller transmitter about 2" long that snaps onto the strap. The newer chest straps with the small transmitter are much more comfortable.
The downside is that these old watches can't use any of the new Bluetooth aftermarket chest straps. And they will not work on the wrist only. They must have the chest strap transmitter.
If you buy one of these, make sure the auction includes the transmitter and strap. You can buy straps for $10, but these older transmitters are $30-$40. You can buy the watch with the transmitter for the same price if you shop carefully.
If you don't have the skill to change a watch battery, you should probably pass on this watch. The batteries last maybe a year, but you need to be really careful in changing the battery.
EDITED TO ADD: These old HRMs would give you elapsed time and instant HR. At the end of the run, you can see total time, average HR and Max HR. Depending on the model, it might also give split times and the average HR for each split you take while running.