Not sure if you are towing but Model 3 will only tow 1000kg, Model Y is 1600kg. Model Y can be retrofitted with a towbar, the old model 3 can’t, its factory only. Not sure on the new model - ask Tesla.
Model Y summer towing range is 145-150 miles. I’ve got 130 with a caravan on the back of my Y but what was in terrible winter weather.
A roof box will probably drop 15-20% off a 3’s range. If you go for the LR that should be an issue, you are still looking at ~4 hours driving before needing to charge. Obviously the faster you go, the bigger the impact.