OK, lets try this without the smoldering sentiment.
Dasheill, you've probably picked the worst combination to play at this time on the server. There are a huge amount of restrictions currently placed on the BHG players because of problems (whether real or blown out of proportion) caused in the past.
Also, FYI, starting with the new mod version, you will NOT be able to fly your capital ship without a Guild Core ID and then only in the Omicrons. This is meant to confront some of the very same "problems" as stated above. Please keep this in mind as you fly any capital ship, that with the new mod version, you will have to have a Guard tag and ID to be able to fly any capital ship past Gunboat.
No, there is no Sirius wide police. They're bound to Houses for a reason. Mainly because most houses have their own ruleset, and consequently most have their own police force. There have been (many) attempts in the past to create a Sirius-wide force, but have all been shot down by both community and ADMINS.
What you will find is a lot of restrictions on most houses capital ships. If you do a search on the forums, you'll see several threads about ship licensing/registration for most of the major houses (6). I'm really not going to comment on the reasoning, because I'm not in on it really, but everyone has their reasons for everything.
In short, there really are no options open for you to do what you are asking to do. One option, as said before, is to join the Strontium Dogs. They're a pretty well respected BHG faction, flying all fighters and i think a couple gunboats, which would give you the opportunity to fly your fighter, and probably learn a bomber. As for your cap...I'd find my way to the Omicrons and start doing some RP with Order and/or Corsairs. There are several Zoner bases out thatta way you can dock on to be able to stay out there.