No advice about laser treatment sorry but the oil cleansing method has helped mine quite a lot.
It came about after I got so frustrated that I couldn't find ANY moisturiser that didn't make my skin flare up (I've tried loads, all supposedly for sensitive, rosacea skin) I heard about the OCM and started to use just a simple almond oil (1.99 from the chemist) to cleanse my skin twice a day. Remove with hot water, no need for a moisturiser.
It's taken a while but I definitely don't have as many flare ups as I'm not using any other products. If you google the method some will mix castor oil with a base oil - be very wary of that as castor oil might irritate. stick to just one gentle oil.
I had three rounds a year ago for facial redness (not rosacea, or at least I've never been diagnosed with it). Saw a minor difference and would have gotten great results with more treatment but it was exxy and I couldn't bring myself to commit to more. I probably would have needed around 4-6 more which totalled, would have cost over AU$2000
That said my redness is relatively mild (although still visible under make-up) so it might be more dramatic in other cases.
I use green concealer under foundation which helps a bit.
Maddie, I can't speak from roscea experience but I would really urge you to have a consult with a private dermatologist who offers laser treatments as part of their clinical services. I wouldn't let any beauty clinic or therapist near sensitive skin! The extra cost of seeing a fully qualified dermatologist vs a beauty tech (who has no medical training at all) is fairly small in terms of £.
But you will get expert treatment if you see a dermo and you won't be offered treatments that are expensive and useless (which has definitely been my experience of beauty tech places). I know of two lovely private dermatologists but one is in Hove and the other in Berkshire which is no use to you, apologies. But a bit of goggle should turn up someone. Good luck, it's a tough sort of condition to endure by the sounds of it.
I had lots of broken veins on my cheeks (hadnt sought a doctors diagnosis). I came across a vascular surgeon who also did laser treatment privately. I had a total of 6 sessions over 7 months. It was very successful and in 13 years it has not returned. So money well spent as problem solved. Treatment was based in Birmingham