Have had tennis elbow on both arms (and golfers once too) over the years from playing badminton.
If it doesn't get too bad you can rehabilitate completely. Last time it took about 4-6 weeks of doing the 'Super 7' exercises (shown in the youtube vids above or google super 7 tennis elbow).
The supports help for exercising but best to avoid using them when possible as they only mask the symptoms. The horse shoe shape ones are best (
http://www.healthandcare.co.uk/golf-supports-accessories/T48001120203205.html like this) though all types need to be carefully positioned to work properly.
The pain is as a result of inflammation in the tendons so you need to remove the inflammation and strengthen the correct muscle groups. Normal procedures for removing the inflammation (though personally I wouldn't bother with anti-inflammatories as I don't think there is enough blood flow to tendons - others may know better). Start slowly with the exercises and only build as you can manage (slowly and only in such a way that you don't reintroduce inflammation (pain)). The exercises will promote healing - by getting blood flow to the injured tendons.
Takes a bit of time but if you are careful and dedicated there is every chance you can rehabilitate before the start of the season. Pay for a physio if you aren't good at self motivation. The £200 you'll pay to get someone to adjust your programme throughout may be worth it to be fit for the new season.
Good luck and keep at it even when you get slight setbacks during your recovery period - it happens to everyone.