I can't decide if I should take this post seriously or not really?
First you observe the lack of consensus or answers on this issue but then you ask for one?
You are correct,there is merely anecdotal evidence based on peoples individual unscientific experimenting about what best works for this in our rigs.
First I hope you realize that every show you mention wanting to watch by name is only available to a Cable TV connection and will not be found on Broadcast TV so.....
Second,if your Scamp
has the Reflectix insulation then you can give up the notion that any inside antenna will work for you at all. The Foil shields the interior fairly effectively from any RF reception through it.
So you will need to use an exterior antenna of some kind.
There is no magic here at all.
The bigger the metal antenna the higher you can get it in the air,the better and longer range your reception will be.
This can obviously be pretty inconvenient to carry and deploy a large metal antenna requires a real commitment to getting reception and short of this all options will be a compromise somewhere.
You can also buy a shrunken antenna that has the metal elements inside a plastic package and usually promising much more than they can deliver and this is what most of us end up using and what is installed from the trailer factories.
I believe we either get lucky or we don't every time we setup and yet we also get excited and exaggerate our joy at receiving channels no matter how many we may get?
The antenna can either be Omni-Directional receiving all around it about equally or it can be directional receiving in a narrow "Beam" but offering the ability to Aim the antenna to pick up certain stations while rejecting others along with noise.
Often you will find an antenna that can rotate in place allowing for this aiming or "Peaking" function to help zero in on a certain direction or station.
Many antennas are also powered or amplified and this just trys to let the tiny amount of signal the pickup and make it usable anyway,these can help and also require their own power which can complicate using them a little.
Add to all of this that we now have been blessed/cursed with the new Digital TV standards and the job gets even more difficult. Digital signals are not only much weaker than old analog signals but they have to be received at certain minimum levels or you get no usable signal at all. We used to be able to suffer through with a snowy in and out reception if we chose to but with Digital it either comes in or it does not.
Since everyone uses Cable these days and few use Broadcast Tv the manufacturers spend little energy on the new TVs tuners and the new requirements of Digital Broadcast and thus it is a total Crap Shoot whether a TV will be a good Broadcast signal performer or not. I have seen multiple TVs in the same spot each tune dramatically differently and there is no way to tell how your TV will tune and how to find one that tunes well at all aside from buying and trying which few people will do.
Then every time the antenna is moved so you can try to find a little better signal you MUST let the digital TV ReScan for channels to determine if there was any difference or not and this can take some TVs a half hour each ReScan few people have the stomach for what it takes to really optimize a TV signal,we are roughing it after all!
Another problem we have when camping of course is wanting to be away from cities and of course TV stations are in cities so the further away from it all we get the harder it will be to take the TV with us.
I have tried a lot of antennas and schemes for mounting and using them,I mean a lot!!!!
I actually sell and install TV for a living and also I am a Ham Radio Nerd and can be somewhat obsessed with this pursuit so when I tell you any of this it is not without considerable trial and error on my part and that of others.
The one antenna that seems to work universally over all others for us in an RV is the Winegard Sensar in any of its forms.
The Sensar seems to work the best for the most and has certainly done so for me.
I carry mine in the truck bed or under the Casita
Bed and I put it up on a Tripod that I carry and on poles in the Tripod to get as high as I need to for my location.
Sounds like a pain? It can be fun for me but I understand if others don't see it this way.
You can mount then to the trailer and even rotate them through the roof with certain options. They also have a tuning adapter for the Sensar that lets you find and peak the direction without ReScanning the TV or even having a TV connected while putting the antenna up.
Getting decent TV signal is tedious and can be pricey and most of us just live with whatever easy options we find and I think for good and obvious reasons. If you want more be prepared to do more to get it.
As for the TV itself they all really do the same thing. Buy one that makes sense to you and know that no computer tuning device will give you a picture nearly as good as even the worst TV will unless it says it will deliver HDTV pictures.
This is not a deal breaker to some of us and a big deal to others. Only you can decide for yourself.
The antenna choices are the same.
Oh and sorry if this is not long winded enough an answer but trust me I could go longer!