If there s no existing valves and no clearance issue then the most common convention is to have the handle point in the direction of flow.
Water valve flow direction.
Check valves also called non return or one way valves are designed to allow flow in only one direction and to automatically prevent or check back flow if the fluid in the line reverses direction.
A valve is a device or natural object that regulates directs or controls the flow of a fluid gases liquids fluidized solids or slurries by opening closing or partially obstructing various passageways valves are technically fittings but are usually discussed as a separate category in an open valve fluid flows in a direction from higher pressure to lower pressure.
Check valves tend to be small simple and inexpensive and are often used for backflow prevention in pumps safety applications and such.
The flow pattern through a globe valve involves changes in direction resulting in greater resistance to flow causing high pressure drop.
A check valve is a specialty valve used to keep water flowing in one direction only and prevent flow in the opposite direction.
There are probably regional and or industry specific variations to this but as far as north american potable water goes this is it.
Most types are not operational and therefore do not have control handles.
A back flow preventer of the type often found on outdoor faucets hose bibbs and on lawn sprinkler systems is one example of a check valve.
If the valve is put in backward the flow will force the gasket away from the top of the valve.