Hello Alana and welcome to the Cow Audio Forum.
More powerful transmitters like the 250 milliwatt Lectro SMQ (Q stands for one quarter watt, or 250 milliwatts) may or may not get the job done. A five fold increase of power from 50 mW to 250 mW doesn’t increase your range by a factor of 5 or even 2.
I’m pretty sure the directional Shark Fin-style antennae are for receivers, but if you didn’t need to move the camera on the field much, you might be able to get someone like Lectrosonics to help you rig a pair of shark fins or something else to get more range. Reach out to Karl Winkler or Gordon Jones at Lectrosonics and see what they can come up with. https://www.lectrosonics.com/US/Contact-Info.html
The longest range of any wireless I’ve tested has been an Audio Ltd. 2040. I got over 1000 feet with one set and the 2040 TX is only a 50 mW transmitter. When I asked about the greater range, I was told some of the secret is in the receiver. More about the 2040 (which is soon to be retired, from what I hear) here. https://www.dropbox.com/s/9xwdranr5l2j8oh/AudioLtd.2040.pdf
For home games, maybe run a cable from the booth to someplace near the edge of the field to your transmitter and fly the audio in from there to the camera with wireless. Before doing that, I’d work out whomever is doing the mix so levels remain proper.
Regards,
Ty Ford
Cow Audio Forum Leader
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