James having had a look at pictures of saltburn, have you tried fishing the peir?
try a heavyish line(25-30lb) and 15-20lb hooklengths, size 2 hooks baited with ragworm and small slices of mackeral.
basic running rig, ie feed your mainline through the loop of you weight, tie a swivel on your mainline to stop the weight falling off, and then tie you hooklength (about 18inches long) to the other end of the swivel.
use a small weight, just big enough to reach the bottom but not big enough to hold, probably 3-4ozs.
on the end of the peir stand on the uptide side and drop, dont cast, your rig over the side. let the tide pull it slowly under the peir, but hold on tight to your rod. when the line goes to far under reel in and and start again. you will lose tackle, but if there are any fish about they will be there waiting for food to come to them.
you could find bass, whiting, pollock, wrasse, rockling, bullheads, pout, mackeral, garfish and eels there depending on the time of year.
the other place i would be tempted to try would be the entrance to the river, ragworm for bass and flatties, and maybe bread on a float for mullett.
other the that you have the cliffs to look at, or as its a shallow beach go for a walk at low tide to see if you can spot any worm beds, if you do, try casting to them when the tide comes in.