A half ton would do what you are wanting, but when looking look at the 3/4 tons because now days with fuel costs people are dumping 3/4 tons for cheaper than half tons, well that's just what I have noticed.
My first vehicle was a truck as well, wouldn't have it any other way for what I was doing. So I got a toyota pick-up with v6 had sunroof and was midnight blue. I couldn't keep the girls out of my truck. ;) I abused that poor little truck, jumped it on the motocross track a lot, hauled 2 tons of feed home on the freeway in the bed(dump so don't do that), and that thing was still running good when I sold it. But getting a fullsize truck makes a big difference. Good luck to you I hope you find a nice one.
My dad's 86 F150 hauls fairly well our horse trailer but I personally would rather haul with our 02 F250 V10. Main reason is more power and heavier being more stable on the roads. I am 16 also and everytime I have hauled I prefer using our F250 over any of our trucks. My personal truck is a 88 F150 and love it but I haven't had it running to tell you how it hauls.
There's no such thing as "AN" F150, there is a huge range of differences in trucks, and what they can tow, "150, 250, 350, " is about what cargo can go in the bed, and the springs and steering can deal with. It has zero to do with towing. AN F150 with 331 gears and a 4.2 V-6, can't tow 3000 lbs very well. My last F150 had a 5.4 HO, 4.10 gears, and max tow package and could tow 10,000.
If you are shoppig for a 150/1500 and plan on towing you really have to pay attention on installed options, most importantly which engine and rearend it has. Something used dealers generally never know, or will lie about. You need to be able to pull the axel codes and look them up.
On the other hand almost all 250/2500's are set up for basic towing up to around 8000 lbs.