I have a few of these and I think I could get more blooms if I was more confident in the potting mix. What would this group recommend

Growers in the Northeast grew Lycaste in plastic pots. Why? Because they love water.
Media was either a fine seedling bark mix or long fibered sphagnum moss. Plants were potted in fairly small pots. The hybrids using microbulbon and cruenta as parents are smaller growing, deciduous types and were often grown in shallow clay pots.
The large flowered hybrids from skinneri, things like Lycaste Shoalhaven or Lycaste Auburn were mostly in plastic pots.

My potting is just as you suggest, Bill as I have the simple aromatica type and size and some of the skinneri. But I have been using a mixture of medium sized orchiata (sp), sponge rock and alifor. Think I'll keep the same ratios but go down a step or two in the size of the bark. Thanx

You are welcome Ted.

How does 1/8" -1/4" 0r 1/4"-3/8" sound. I use orhiata

A small growing species or hybrid I lean more towards 1/4 - 3/8". They do like to dry a little between waterings.
But with the skinneri types, Auburn, Shoalhaven and the like, I would go 1/8 -1/4" Ted. We had people in the NE area that grew these and the very best had fine media. The bulbs really got large and plump. I remember seeing a Shoalhaven hybrid with 9 spikes on a bulb! I saw a beautiful skinneri on a bulb that was one third the size and it had a single flower. Judges made the point that to get a better flower count, they needed to get those bulbs bigger. Some tried a mixture of one half seedling mix and one half sphagnum moss.

Thanx, Bill

Welcome Ted!!