UPDATE:
1) placed an ice pack (from freezer) on groin when I got home from work today. Relief at last (only temporary), maybe I need to move to the South Pole to live with the condition

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But seriously, applying the ice pack alleviated the constant burning sensation that comes on after a period of being vertical.
Appearance of the penis also returned to a familiar state as the cold temperature contracted the varicose veins. Penis looked 'normal' (except for being shriveled up from the cold).
2) Urologist appointment in the morning. Hope to report back with news tomorrow.