I had problems with this - I think my skin had just become really sensitised as after going back down to minimal products I've been able to reintroduce quite a lot of products really slowly. I'm a product junkie so not being able to try new stuff was a real pain. I do still flush badly with alcohol and have virtually stopped drinking as a result.
Clinique take the day off (TTDO) solid oil cleanser is very neutral so I went back to just using that and my "safe" moisturiser (the now discontinued Liz Earle one for dry / sensitive skin).
I used this until my face had totally calmed down and then reintroduced new products one at at a time, a minimum of a week apart.
I now use - LRP Toleraine/ clinique TTDO to cleanse with a bit of Avene if I'm travelling as I have a small bottle of it. I didn't get on with REN Evercalm it is too scented. I've just ordered Beauty Pie japan fusion cleanser as it gets great reviews.
I've added in some actives - beauty pie Vit C capsules AM and hydraluronic acid AM & PM (this is great for dehydrated skin - I've used The Ordinary, Beauty Pie capsules and have just opened Super Facialist serum version - it smells vile so wouldn't recommend, other two were good and I would repurchase). I also use the LRP Rosaliac serum AM & PM at this stage too.
Moisturiser-wise I've been flirting with CeraVe and the new formulation of Liz Earle. Not decided what I'm going to use long term. I also have a sample of a nice looking organic moisturiser from a small Hertfordshire company that I got in the recent JL beauty box.
I use sunscreen every day - Ren CleanScreen and Kiehl's ultra facial both don't trigger reactions. Caroline Hirons argues that a lot of sunscreen allergy may actually be due to inadequate removal. Hence double cleansing in the evenings.
My skin is looking better than ever.
A cosmetic doctor friend recommended Rosacure which you can buy online and another one recommended Dermalex which is over the counter. Because my skin settled I didn't try either of these.