Captsodie, greetings and welcome to the forum.
Regarding your bike rack idea: a BIG CAUTION.
As you may be aware the key to safe towing is tow hitch weight. Various sources recommend at least 10-15% of trailer weight on the hitch ball. So with and 800 – 900lb trailer that is @80 – 135lb. Less than that and you risk sway with disastrous results.
With a full size trailer adding a rack at the back would likely have little impact given the much greater weight of the trailer. But with our tiny trailers a hitch, rack and two bikes could add @ 100lb leveraged out over the back. Imagine doing that on a teeter totter – the hitch weight would be much reduced and you have introduced a big pendulum at the back.
I also wanted to be able to take bikes on trips. My solution was to place a receptor for a rack at the front of the trailer. I used an old rack and had a vertical receiver welded on to my frame. Rack is easy to attach and remove. Two bikes fit across the frame. Need to take care with geometry of turning circle.
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Other alternatives are to roof mount on your vehicle and there are also double receptacles so you could have a tow hitch and rack receiver on the back of your vehicle.
All the best, Mike