did you have any noticable viral illness preceeding these symptoms?
it sounds a little like autonomic nervous system dysregulation - especially the blotchy hands and neurally mediated hypotension (which sounds like the dizziness you're experiencing)... sometimes a virus, even an asymptomatic virus, can damage the nervous system, and it can take 12-18 months for the symptoms to fully resolve... this process can be sped up by reducing stressors, getting plenty of rest, light exercise, and improving the diet
interesting you say the hands go blottchy when this happens - there's a condition called POTS (postural orthostatic tachycardia syndrome) which can be related to chronic fatigue and/or NMH, whereby the peripheral blood vessels may be dilating faultily - which lowers the blood pressure - maybe sometimes you've felt a burning sensation in the thighs or feet during this?
a stomach problem could be involved - stomach conditions like hiatal hernia and reflux can interfere with the vagus nerve... this is the key to many anxiety cases... the vagus nerve can make the heart skip, can lower or raise blood pressure, cause flushing, cause very sudden anxiety, etc.
on the other hand, many of these symptoms can be caused by chronic overbreathing (hyperventilation syndrome)... HVS is so hard to spot that often the best indicator is the size of the patient's file - a great many seemingly unrelated symptoms... i'd certainly look into that first and rule it out if nothing else... it can cause all manner of anxiety conditions, automonic problems, fatigue, dizziness, raynauld's-like symptoms
it would be worth getting tested for any possible vitamin or mineral deficiencies - and possibly a serum cortisol test to make sure you've not got some degree of hypoadrenia... i'd suspect this is a post viral syndrome from the symptoms - and these do resolve over time