The latent heat of vaporization of water is 970 BTU. That is absolute BTU, not BTU/hr like air conditioners are rated for.
That means, to condense 1 pound (1 pint) of water, you must remove 970 BTU of heat from it. That is approximately 300 watt-hours.
Can we do this more efficiently than spending 300 watt-hours of energy? YES. Thanks to heat pumping. The best heat pumps range as high as 38 SEER, which is 12 times efficiency, so your 300 watt-hours would remove 12 pints of water. Not bad at all, you can work with that.
The #1 mistake I see (practically every time) is focusing on "alternative technologies" simply out of fear of the running watts of mechanical dehumidification. This is wrong-headed -- the goal here is to remove pints of water for the least solar power, so what matters is "watt-hours per pint".
The thing is, the dehumidifier doesn't need to run "wide open 24x7". Assuming that is why people are afraid of the "running watts" of mechanical dehumidifiers. If a 300 watt unit is removing 8 times as much water as a 150 watt unit, that's better - you want the 300-watt unit.
The second mistake is being afraid of batteries. You don't need some huge battery unless you are committed to hitting a particular humidity number 24x7 "and cost is no object". Realistically, you want to run the dehumidifier intermittently when the sun is shining - and ideally, you want to use power that would otherwise be thrown away.
If your system is properly sized, there are many times when your battery is fully 100% topped up and the charge controller must start rejecting power from the solar. Instead, start the dehumidifier. Since the battery is operating as a buffer, it's not even necessary for the solar to keep up with the dehumidifier: you simply shut off the dehumidifier when battery charge reaches a "low" setpoint e.g. 95% battery charge.
Will that be enough to reach your dehumidification goals? Don't know. But if it isn't, the cure is simple: rack more panels so the dehumidifier can run more often when the sun is out. The same battery will suffice.