should a small portable panel be alligator clipped direct to the house battery or will it feet too much voltage and cook the battery? I don't think they have any logic or controller.
The general rule of thumb is that you don't need a charge controller if the charge amps are 1% or less of the battery AH rating. If you have a "standard" group 27 battery that's about 100 AH then no more than a 1 amp panel output. This would be probably around a 15 or 20 watt. However, a charge controller is never a bad thing. They are less expensive than cooked batteries.