Hi Charlotte,
You are right. With a dataset of your size, there is absolutely no reason to use PartitionFinder with BEAST. I'll explain why in as much detail as I can.
First, PartitionFinder is a built in a likelihood framework, not a Bayesian framework. That matters. Primarily it matters because PartitionFinder is trying to find the 'best' model of sequence evolution, assuming that you are forced to use a single model. This is not what you should be doing in a Bayesian framework - you should be integrating over all possible models, just like the RBS package does in BEAST.
Another issues is that PartitionFinder penalises models based on the number of parameters. The issue here is PartitionFinder doesn't account for all the additional parameters that are typically estimated when you use BEAST. It assumes you are using something less parameter-rich like RAxML or PhyML. BEAST models typically have many many more parameters (that can interact in complex ways) including dates, rates, population sizes, tree priors, etc. etc. For that reason, PartitionFinder does not really penalise models in a way that is appropriate for use in BEAST, even if you were willing to fix on a single partitioned model.
In general, I always recommend people use the RBS package in BEAST if their data set is small enough for that to be an option. The models in that package are the right solution to the partitioning problem. In fact, they are WAY better than any attempt to use partitionfinder on a dataset of any size. This is because they account for uncertainty in what the 'right' model of evolution is, and they allow you to infer a posterior distribution of trees that has integrated out that uncertainty. That's a really huge advantage over fixing a single model and assuming it's correct, as you are forced to do with PartitionFinder. The only drawback, and it's a pretty big one, is that the Bayesian models are hard to mix, and so are limited to small datasets. You should be OK though. The only reason to use PartitionFinder with BEAST is if your datasets are too large for the RBS pacakge. And even then, you should only take the PartitionFinder model as a suggestion for a BEAST analysis. You may need to fine-tune the model of sequence evolution based on the behaviour of the MCMC. I have often observed that models from PartitionFinder are quite overparameterised for a BEAST analysis, and so fail to mix adequately.
So, I am completely on your side here. Don't use PartitionFinder if you can successfully implement the models in the RBS package.
For what it's worth, I also doubt that changing the model will impact your tree. It rarely does (we just wrote a paper about that:
http://mbe.oxfordjournals.org/content/early/2015/02/05/molbev.msv026). However, it's important to use the best model, because changing the model can sometimes make a difference to the tree. In this case, the models in the RBS package are definitely better than using the best model from PartitionFinder, so if the tree changes you should believe the trees from the RBS model more than those from the PartitionFinder approach.
Cheers,
Rob