Hi Bart,
Bottom paint is expensive, no two ways around it. There is two kinds for the most part, "hard" bottom paint and ablative paint. The hard will need to be sanded off or maybe you can find someone to sandblast, maybe with walnut shells or something less aggressive then sand and then you can repaint it yourself. Just need to get off the trailer, preferably hanging from the 3 eyes on the boat.
Ablative wears away as you use it so theoretically you can eventually wash it all off. Unfortunately the gelcoat was probably scruffed up with some heavy sand paper to make the paint stick better.
I tried to remove the hard paint from my 230 myself and tried sanding and also paint remover without success. I eventually brought it to a guy that removed the old (I think sand blasted) and then painted with ablative. Cost was approx $700 for a 23ft boat. A 17 might have 14-15ft of length at the waterline so it should be much less.
BTW, I moved your topic here in the paint forum.