Heating the air will not lower the moisture content and on the contrary will increase it's capacity to absorb more.
If you want to do it mechanically you will need to condensate which means passing the air trough a very cold heat exchanger or compress the air so the moisture will condensate.
You could try a small commercial air compressor with a moisture separator like the ones used for spray paint and then pass it trough your silica gel. Alternatively you could use a de-humidifier for your basement which will be beneficial not only for your Ozone but will prevent mould around the basement area.
Another system is to design your silica drier for self regeneration much like industrial systems do.
You will need to build two chambers, also you will need an air heater and four solenoid valves two in normally open and the other in normally closed state, a couple of relay contacts plus a timer capable to control ON and OFF conditions over a period of a couple of days.
The way to operate will be rather simple. The air first passes trough the heater and then trough a solenoid to heat the silica gel (To about 230*F) , this will reduce the silica's capacity to retain moisture (You can use more effective 13X molecular sieve but needs about 350*F to regenerate).
Every time the timer actuates it will turn on the heater and switch the solenoids to direct the hot air to the chamber in regeneration while redirecting fresh air to the chamber in use. Next time the timer actuates the heater is turned off but via the relays (acting as memory) the solenoids will continue in the state of air trough the use and will shut off the chamber just regenerated.
Next time the timer actuates it will repeat the process but switching the air to the chamber that has been already regenerated and initiate the regeneration process to the chamber previously in use.
If you really want to be fancy and have money to spare, a moisture controller can replace the timer and make the switches when the moisture in the line going into the Ozoniser starts to rise
Well some ideas out of which the most practical and cheaper will be the small air compressor.
Enjoy!