Michael,
The light tent that I use (and am pretty happy with) doesn't seem to be for sale anymore, but if I wanted a replacement I'd either:
- get some white photo diffusion cloth and make my own, or
- buy an inexpensive pop-up photo cube (made of white photo diffusion cloth).
If I were in your shoes, I might simply cover the open corners of your tent with some of the same cloth so they don't appear in reflections anymore.
Light tents with internal LED lamps seem to be in vogue right now, but I would avoid them like the plague. The whole purpose of a light tent is to provide a "large" (often erroneously called "diffuse") light source that will yield soft shadows and reduce specular highlights. Internal lights completely defeat that purpose. Pen photos taken in these tents are easily identifiable because they have tiny white dots all over any glossy surface (such as the pen finish) - each dot being a specular highlight from one of the multiple LED lights. Frankly, I am baffled as to why anybody would want one of these tents. Even if the internal light source were diffused, you still wouldn't be able to control its (their) placement.
When photographing with a light tent, I want to be able to position my lights (and flags/gobos) so that I can control the direction and amount of any shadows as well as the amount, location, and shape of any specular highlights (such as a "shine line" to show off a gloss finish). That is primarily done by moving lights around outside the tent. The lights illuminate the tent walls - the tent walls illuminate the object I'm photographing.
I hope that helps,
Eric