If you want to run without an unloader you will need open dump guns (no trigger so the flow is always flowing, you cannot use regular guns as hoses will pop or damage to your pumps and/or both), have someone holding the gun when you start the machine as water will be flowing and the gun will kick, you cannot put the gun down until you are done.
I know many people that work certain jobs like this but it is dangerous and if someone gets hurt using your system without trigger guns, pray you have a good attorney as you will need it, also make sure you have an umbrella policy so if someone gets hurt, you might be covered.
Without the unloader, trigger gun, no ball valve, the hoses might last longer as there are no more pressure spikes and if you are downstreaming, the chemicals will flow until you turn off the valve or remove the chemical hose from the tank depending on your setup.
Just telling how it is, the good and bad.
Good luck.