I suffer too. Have been for over 2 years.
I don't have the spots/pustules but a red red red face. Although I am managing the redness well and starting to look more normal.
It really flared during my first pregnancy so it was quite a while before I could use any medications as they're all banned during pregnancy and BF. During 6 months of BFing it spread to my throat, chest and upper arms. Not attractive. But its under control (more or less) now. And the redness on chest, arms and throat has gone fully.
Your GPs advice isn't correct. If you are to take antibiotics, then you need long term course of minimum 3 months, probably 6 months.
And it would be best to also use something topical to apply too (obviously not around your eyes).
Can you afford a private dermatologist?? About £100 should get you a consultation and a long term perscription so you wouldn't need to fork out for a further consultation for a matter of months.
Also private derm would write to your GP which means you could get repeat perscriptions from there as you would have a specialists diagnosis.
I didn't find the very strong antibiotics (such as lymacycline) very effective. I found long term euthromycin more effective.
The best topical stuff I tried was Finacea. Absolutely the very best and works without oral antibiotics. I found results from Finacea were lasting ie where it had cleared the redness, it hasn't returned despite the fact that I have had to stop using finacea as I am pregnant again.
My face was extremely sore with that horrid sunburn feel to it but 3 months of eurthomycin took that and a lot of redness away. After that I could use the Finacea as my face had previously been too sore to apply.
You will most likely need a dermatologist to perscribe finacea as its essentially an acne drug and its use for rosacea is what is known as "off label use" but its widely used and effective. You could ask your GP but I've not found GPs helpful for rosacea at all.
I also found that pretty much all skincare stuff makes my face searing burning red.
I use grapeseed oil (neals yard or holland & Barratt) and a muslin to cleanse with just like oil cleansing method but without the castor oil (too harsh). Its also keeps my skin moisturised and if I'm really dry then a drop of the grapeseed oil applied after cleansing does the trick.
Avoiding all other skincare stuff means that my face isn't red now (quite pinky cheeks but not in the same league at all) that I am pregnant and cannot use any of the rosacea perscription medication.
I use mineral makeup. I find Lilylolo good. Or the Bare Escentuals (the Matte one!!) good. There are many other brands of mineral makeup and it depends which shades suit you best.
And final tip. Apply mineral makeup with a flocked sponge rather than a brush as I find the brush sets me off too and isn't nice on a sore face.
If you go on a course of antibiotics, you need to expect that it will be a good 2 or 3 weeks before you see a big difference. However if you do antibiotics with a topical such as finacea, you will start to see a difference much faster.
I really hope you get the medical support you need as its awful to suffer from rosacea (and painful) and it really ruins your confidence not to mention your social life.
It can so easily be so much better and to the point where you don't notice it and actually forget about it most of the time.