just grow rockarrots. I took about 100 from a large crop box and hopped on my flying mount to search for a high lvl one. it was easy leading it back as well considering it was only 3km away. leave the turtles in the past and keep a stock farm of crops and narcoberries.
You can feed it then use a bola (which doesn’t lower effectiveness) and after that use fence foundations and walls to keep it in place and ride it for the duration of the tame. No need for it to run around randomly.
These guys are easy to tame low level but a 150! The tame percentage drops as the horse runs do good luck ever taming a high level one. Unless! You knock it out build a box around it wait for it to wake up and the tame to your hearts content. Vote up to help others!
Feed it then mount. You won't be able to control it until the tame is done, dismounting appears to lower taming effectiveness so make sure you have a good supply of carrots (preferred food) on you. When it starts to buck you off you have to hit enter to feed it again. If you pay attention to the bottom left corner of your screen there will be a tool tip that will pop up when you can feed it abs just before it starts bucking.