If your only need is to protect the pump, then using suction and discharge pressure trips is unusual. I would be more likely to set a trip on low suction level in the drum to keep from running the pump dry. I would be more likely to set a trip on low discharge flow to keep the pump from running dead-headed or below Minimum Continuous Stable Flow. If you don't have instruments for level and flow, you could use pressure with some loss of protection. A low suction pressure could be substituted for low suction level. A high discharge pressure could be substituted for low flow.
To determine the proper set-points for these substitute trip set-points, you would need to know the full range of possible suction conditions and the pump curve. If the pressure in the flash drum is constant and stable, then suction pressure at the pump would represent drum pressure plus head pressure. If the drum pressure did not change, then any change would represent a change in level. The discharge pressure of the pump could be correlated to flow by assuming a given suction pressure and using the pump curve.
Depending on the variability of your suction pressure, this could be a very poor way to protect the pump. You could substitute a low amp trip based on field testing at low flow. A low amp trip might also provide protection for loss of suction level. Depending on the characteristics of the pump, this might not provide good protection, either.
Johnny Pellin