If I have steroid induced rosacea, what would be the best form of treatment?

this is not really rosacea and the treatment depends on what your manifestations are so it is best to see a board certified dermatologist for treatment. in answer to your question your problem will not be resistant to doxycycline

Rosacea is very complex and a tailored treatment program give the best results. This is because there are many types of rosacea (telengtctatic or capillaries, flushing and redness, acne like rosacea, ocular rosacea and even rhinophyma rosacea.) Steroid induced rosacea is the easiest to treat as it responds to tetracyclines and does not usually recur. Any residual redness can be treated with vascular lasers. 
To add to the complexity, everyone has different flare factors- Sunlight, stress, foods, chemical irritants, creams, changes in temperature, alcohol. The list goes on. 

A detailed history, together with a treatment tailored according to YOUR type of rosacea will give the best results. As a guide, I use a combination of -

1. Lasers ( to treat redness, broken capillaries, rhinophyma, flushing)- best laser is the V BEAM. IPL can be used, but usually not as effective. Laser toning using the long pulse Nd Yag at 1064 can help with background redness. 

2. Creams - anti inflammatory

3. Tablets -anti - inflammatory and sometimes low dose Vitamin A. 

4. For females- Mineral make up is recommend, over make up that contains parabens. 

For the best results, consult a dermatologist for both medical and laser treatment options. 

Kind regards.

Dr Davin S. Lim.

Laser Dermatologist.

Brisbane, Australia.