I only watch DVD movies on my unit, may start to watch HDTV, but with my case I only watch at night. I am at work M-F and during the day on the weekends, I am busy with other projects. So the lack of total light control is not an issue. I use a Draper screen, so I can not comment on the Firehawk.
Even without a remote, you can pull the lenses off and take a look for burns on the CRTs (burns will be brown in color.)
Maybe some fellow CRTer that lives close to you has a remote and would be willing to come over?
The other thought is if you have a Pronto or another such programable remote, remotecentral.com has many of the download codes.
Good luck and I would keep the Ehome, you can always sell it to one of us, or on fleaBay.