I find the normal old fashioned blue Ventolin is OK, so long as I don't take much of it. I tried again this year with one of the combi inhalers (steroid + LABA i.e long acting Ventolin) and ended up in a very painful state with my stomach/reflux symptoms. I do have this hypersensitivity thing, so I don't know if it's actual reflux I feel, but it was bad enough for me to stop the new inhaler. Now I'm almost back to how I was beforehand, not quite yet there. I did find some information in the medial literature (which I think I printed off.....) that said the LABAs do relax the LES.
Like you, I find the clinic staff are very determined that reflux annoys asthma (which it can) but suggesting asthma inhalers can aggravate reflux falls on deaf ears.
GERD (3 years and counting)
Lifelong stuff: Food allergies/intolerance, eczema, asthma