The smaller RV pumps only suck a gallon or two per minute. If it's good hose it likely will take the the suction from a small pump. If it's that $5 per 50 foot stuff from Wally World it might be iffy. The pump can't "suck" more than 15 psi, and the hose will then have up to a 16 psi drop to the pump, which is much better than the 2.5 psi with gravity alone.
As was suggested, you could have an "air block" in the hose, so picking the hose up (higher than the rest of the hose) close to the tank and walking the high spot to the PVC should push the air to the end - especially if you can unclamp the downhill end while you make sure there's a flow. (If you walk it the other way, the bubble has to move against the higher pressure at the bottom of the tank to get out of the hose.) I'd expect you've got enough pressure, even with your few feet of elevation to push an air bubble out, but surface tension around a bubble can make an air pocket "sticky" at very low pressure in typical garden hose.
Since water doesn't "wet" PVC very well, I wouldn't expect any air locks in the PVC.
If you go with a pump, and want to get fancy, a "pressure tank" at the pump outlet can reduce the on/off surging of the pump. Any pressure tight can, full of air when you hook it up so that the pump compresses the air as it fills the can with water will give you some flow both from the air pressure pushing water out of the can and from the pump trying to keep the pressure up. Something like an old 20 pound propane bottle (one you're ready to toss because it doesn't have the newfangled overfill preventer valve) or even a small hot water tank could be fairly easy to convert.
The surge tank of course is just frills and fillips though, so suit yourself about adding features. Most any pump should work fine without one.
Your local hardware might have one of the $9 utility pumps1 that you can stick on a drill motor to pump out your flooded basement, with hose couplings on both sides, that you could use to "test the theory" if you like, before you invest in a real pump.
1 Probably about $19.95 retail, but worth about $9 - or a lttle less - if you're a realist.