So, you're into Hellenic Reconstructionism, but you also have a mystic bent? You may wish to pursue some traditional subjects of contemplation and personal development prevalent in ancient Greece.
Spend some time getting to know the cosmos in which our world spins. This may be easier than you think! Websites such as astronomy.com and skyandtelescope.com provide current sky maps, articles about astronomy you can use, etc.
One of the "funnest" forms of contemplation ever! Assemble geometric structures from toothpicks, compass & straight edge, or anything that catches your eye. Pick up a copy of the exceptional book A Beginner's Guide to Constructing the Universe by Michael S. Schneider, which is jam packed with interesting reflections on the geometry all around and within us.
Aside from the simple fact that being in better shape makes you feel better in general, the contemplative can benefit in additional ways. Mindfulness of one's body in motion is an ancient practice capable of yielding profound insight into the nature of one's existence. Carve out opportunities to get out and walk, swim, frisbee, bike, canoe, throw stones, or any healthy activity to keep your blood circulating and muscles in motion.
Step away from the keyboard and do some practice. Pour libations, light a candle, recite a Homeric or Orphic hymn, fire up the grill, blow a kiss to the morning sun, or raise your palms and pray. Consider how to best prepare yourself to approach divinity in a meaningful and respectful way. It doesn't have to take over your life, but it has its proper place.
Study the fine art of making sense. Search for "logic tutorial" or similar at google.com and pick up some pointers for forming reasonable conclusions and understanding the way things work. For bonus points, read some of the shorter dialogues of Plato (some of which really are short and full of excellent moments).