Hi Jeremy,
At that distance you will definitely get ADS-B alerts and should also get Mode S warnings - certainly from the 'big stuff'. Please remember to enable Mode S in the Config page if you haven't already done so and note that the Mode S triggers in the current software version are not the final version yet, so start from the ultra (too noisy) setting to allow everything in, but you will probably need to use the 'medium' or even 'low' range setting to avoid being swamped with alerts if aircraft (especially Mode S CAT) are that close to you.
Regards
Peter