Here is a simple flow that will perform a round robin so you can send the requests down parallel routes. Feed it into multiple instances of your subflow.
[{"id":"86fe714001428c3c","type":"inject","z":"bdd7be38.d3b55","name":"","props":[{"p":"payload"},{"p":"topic","vt":"str"}],"repeat":"","crontab":"","once":false,"onceDelay":0.1,"topic":"","payload":"","payloadType":"date","x":240,"y":3300,"wires":[["71a3c63d1e6a1d89"]]},{"id":"71a3c63d1e6a1d89","type":"function","z":"bdd7be38.d3b55","name":"Determine route","func":"// Generate rolling route number in msg.route\nconst numRoutes = 4\nmsg.route = context.get(\"route\") || 0\nmsg.route = (msg.route + 1) % numRoutes\ncontext.set(\"route\", msg.route)\nreturn msg;","outputs":1,"timeout":0,"noerr":0,"initialize":"","finalize":"","libs":[],"x":410,"y":3300,"wires":[["a38187b6c7efa35d"]]},{"id":"d8ed75dcf9a0b08d","type":"debug","z":"bdd7be38.d3b55","name":"debug 2468","active":true,"tosidebar":true,"console":false,"tostatus":false,"complete":"true","targetType":"full","statusVal":"","statusType":"auto","x":810,"y":3260,"wires":[]},{"id":"a38187b6c7efa35d","type":"switch","z":"bdd7be38.d3b55","name":"Round Robin","property":"route","propertyType":"msg","rules":[{"t":"eq","v":"0","vt":"num"},{"t":"eq","v":"1","vt":"num"},{"t":"eq","v":"2","vt":"num"},{"t":"eq","v":"3","vt":"num"}],"checkall":"false","repair":false,"outputs":4,"x":590,"y":3300,"wires":[["d8ed75dcf9a0b08d"],["448afcc292d9011e"],["c78b05795ebcbe86"],["c4e8c7ae96346c2d"]]},{"id":"448afcc292d9011e","type":"debug","z":"bdd7be38.d3b55","name":"debug 2469","active":true,"tosidebar":true,"console":false,"tostatus":false,"complete":"false","statusVal":"","statusType":"auto","x":810,"y":3300,"wires":[]},{"id":"c78b05795ebcbe86","type":"debug","z":"bdd7be38.d3b55","name":"debug 2470","active":true,"tosidebar":true,"console":false,"tostatus":false,"complete":"false","statusVal":"","statusType":"auto","x":810,"y":3340,"wires":[]},{"id":"c4e8c7ae96346c2d","type":"debug","z":"bdd7be38.d3b55","name":"debug 2471","active":true,"tosidebar":true,"console":false,"tostatus":false,"complete":"false","statusVal":"","statusType":"auto","x":810,"y":3380,"wires":[]}]