I am not an expert on any aspect of naval history but it seems to me that the best chance of a victory for the High Seas Fleet was slightly later than October 1914 and probably coincided with the Scarborough Raid of 16th December 1914 http://en.wikipedia.org/wiki/Raid_on_Sc ... and_Whitby
. All four of the König class battleships and the battlecruiser Derfflinger took part in that operation but may not have been available in October. HMS Tiger had joined the British Fleet on October 2nd 1914 but was not fully “worked up” until later. The last two ships of the Iron Duke Class, Benbow and Emperor of India, had worked up and were declared fit for service on 10th December 1914. However, the Grand Fleet was weakened on 27th December when Monarch collided with Conqueror so that both were out of action for at least a month. Thus the period of opportunity probably extended on to the Dogger Bank battle on 24th January 1915 http://en.wikipedia.org/wiki/Battle_of_ ... %281915%29
. However, Von der Tann was in drydock at that time for periodic maintenance, which could have been delayed, whilst Tiger took part.
Superior German fire control togehther with hitherto undetected weaknesses in British battleship and battlecruiser design (the flash explosions that proved so disastrous at Jutland) and the vicissitudes of war might conceivably have turned the odds in the High Sea's favor.
These advantages might not have been so significant in 1914. For example, the German ships may have also been at risk from flash passing down from turrets to the magazines until measures were taken to reduce the risk after Seydlitz's fire at Dogger Bank. The British battlecruisers may have been less at risk than at Jutland if the measures to increase the rate of fire had not already been adopted.
I don't think that the British “fire control” equipment was inferior to the German if we define fire control equipment narrowly as just that carrying out the calculations. The German range finders may have given more accurate ranges so that the theoretically superior British directors suffered from “garbage in – garbage out” at Jutland during the Run to the South. However, it is not clear whether that was generally true or just a function of the visibility at that time. Certainly German techniques were sharply improved after Jutland to enable accurate fire at longer ranges as shown off Moon Island in 1917.
Although the British ships carried heavier guns than their opponents, German shells in 1914 were superior to British shells as the newest APC shells could penetrate at an oblique angle and explode after a delay. However, those shells were brand new in 1914 and it might be interesting to check which shells were actually loaded on to the High Seas Fleet in October 1914 to January 1915.