Not if it's Federal. Federal users are covered by the NTIA, and they don't have a publicly searchable database.
However, if you go here and look under the Roosevelt National Forest, you'll find the Scene Of Action repeater listed. Try 169.950
Very true for NTIA allocated users. I guess your best bet would be hoping it was submitted here like you mentioned.
I was thinking more like sites used for temp repeaters like those commonly known as SOWS in todays lingo for LMR. Of course a lot of SOWS in use out there seem to be 700 MHz units using state licenses that usually don't show up at the FCC site either.
A close call scan is still worth running for a while though and if you are lucky, it will catch something that has been submitted here.
I know the Missouri Wing of the CAP was or did install a repeater on a tower at Taum Sauk mountain which is the highest point in Missouri.
They seem to be secretive about their frequencies these days so a visit to the site may be needed to try and catch it but with all the other transmitters at that location, finding it could be near impossible. I'd assume it's probably a P25 repeater unless the news article I read about it was really old. They do mention how they can also communicate on the statewide Moswin system here though so it had to be fairly recent news. I was researching the MO Wing of the CAP after hearing some comms on a couple unknown talkgroups here on Moswin.
They used terms like Eagle 50 to Eagle 51 for user names and a term of Region "Five Charlie" "5C" for their area.
I don't ever recall hearing user names of Eagle back in the days of the Analog CAP repeater here on 148.150 MHz. Possibly Eagle users are on the ground mobile identifiers while the aircraft use other names. I think "bluebird" may have been a common name back in the analog days but it's been a while since I monitored the CAP here.