Lumen is a measure of light visible to the human eye. Your lights are red/blue, not white like in modern, higher-efficiency grow lights. (That's because they're Chinese imports using epi-whatever diodes. Epistar whites aren't very good.). So, I'm not sure how lumens applies.
But, I assure you 93w/sq ft is beyond excessive. Especially for only 2.5' of height. If you were growing 5' tall plants 60-70w/sq ft would be past the point of diminishing returns.
Nothing wrong with trying something different, learning things yourself. All I can say is
- W/sq ft is the most common way sizing light to a space.
- People who use epi-whatever diodes tend to be in the 30-40 range for a short space like that. 20-30 with efficient diodes. Even in a tall tent they wouldn't get anywhere near 93.
- What you're talking about exceeds HPS in a tall tent (by at least 30%).
Good luck!