What sort of pipes? I assume Scottish Highland, since you talk about a practice chanter.

I'm suprised that you get dizzy, since my experience of dizziness has only been with instruments that use a lot of air (my first lesson on Bulgarian kaval was the most spectacular) and I thought the pipes needed lots of pressure but not much airflow. For instance during the same trip to Bulgaria I also started on gaida and that didn't make me dizzy.

I play Leicestershire smallpipes and while there are plenty of problems to overcome, especially as I'm not a wind player, dizziness wasn't one of them.
My kaval experience suggests that you get used to it.
The fact thet you already play flute, on the other hand, suggests that this is a slightly different type of problem. Maybe there's a difference between the practice chanter and the real chanter + bag that helps with the dizziniess problem, but not while you're practicing...????

I'll be following this thread with interest...

Anahata