geordie, you're right about these prepupal larvae not eating. They're moving around trying to find a good place to pupate. I would move them to a closed container like a 5 gallon bucket and lid with a few .5 - .75 inch holes high up on the side. The lid will keep predators from enjoying tasty snacks and the holes are to let the adults out after they emerge.
Your humidity might be acceptable, but you could keep a bowl of water in the bucket as insurance. Misting would work but don't go too heavy. I would set it up so the larvae have a few inches of bedding such as sawdust to induce them to settle down and pupate. Keep the pupae near the BioPod and yes you should avoid direct sunlight. After a few weeks you can start checking for emergent adults. To see if they're emerging you can sift through the pupae and look for empty skins. Here's a video of an adult emerging: VIDEO
Since your starter kit contained similar ages of larvae I recommend ordering more immature larvae to help attract the new adults after they mate. Actively feeding larvae are the best attractant for female BSF. The "tea" is also excellent for this so if you don't want to order more larvae you might try to preserve any if you have it. Freezing it might work, but you would probably want to check with any roommates, spouses, etc. If you don't have tea at least keep whatever BSF residue you have in the BioPod.
If I were you I'd place an order for 100 of the smallest "Phoenix worms" every week beginning two weeks after your first generation larvae pupate. (When they pupate they look the same, just stiff and usually straight.) 100 larvae isn't much but it should help. I think you can have them delivered for $6/100. That will ensure that you always have an active colony and some tea when the females are seeking a place to lay their eggs.