One way to use the same size stop loss in pips for each trade would be with range bars. Wait until the low or high is set and then enter when a bull bar closes for a long (low of the day) or bear bar closes for a short (high of the day). Shoot for 1.5x or 2x the risk for the TP. Use a trailing stop if desired. Below in the image is an example of a few long opportunities during the NY session (think the setting is correct). You can limit the number of re-entries for each hour as desired.
1