The frequency is key. Can you mention the application?
You say 24.5 inch diameter, does that mean the shape is round and half of a sphere?
The shape will matter alot if the frequency is high, and won't matter at all if the frequency is low. But if he's already given you a shape (round) and didn't tell you what thickness to build the walls, his electronics is either low frequency or he doesn't understand radomes. What thickness are you plannin? 0.1" 0.2" ?
One way to see how lossy something is is put a piece in a microwave oven for ??10 to 60 seconds and see how much it heats up. That's only a crude way, if you have a choice of two resin's and other materials, put them in the microwave oven, in the same location and same size pieces and heat them for the same amount of time. At least if you do that and tell your customer you did an absorption loss test to use the lowest loss materials in his radome, he'll be more impressed at your diligence and come back to you with future work. Most Engineers will return to the same people to build things if they do a good job, we really appreciate good consistent workers that we don't have to worry about.
Prototype antenna radomes are often fairly expensive, multi thousands of dollars.
Kevin