I believe you can choose the door style. I went with glass and like them.

I don't know the brand of RHP but it has served me well for a few years now. I have no complaints.

I have never had a VE tstat but many do and like them. Looking at the VE300 on the site it appears to only have one probe so you would only be able to control one heating device. The VE300X2 can only control 2.

If you need/want to control several heat sources I would recommend the Herpstat4. I have one and love it. It can control 4 different devices. Not just heating devices as it can control humidity, lights, and heat.

http://spyderrobotics.com/products/herpstat_4v2.html

Here is a pic of the rhp in it. It shows my preferred method for mounting a tstat probe to a rhp too.