Targeted sequence capture is a promising approach for large-scale phylogenomics. However, rapid evolutionary radiations pose significant challenges for phylogenetic inference (e.g. incomplete lineages sorting (ILS), phylogenetic noise), and the ability of targeted nuclear loci to resolve species trees despite such issues remains poorly studied. We test the utility of targeted sequence capture for inferring phylogenetic relationships in rapid, recent angiosperm radiations, focusing on Burmeistera bellflowers (Campanulaceae), which diversified into ~130 species over less than 3 million years. We compared phylogenies estimated from supercontig (exons plus flanking sequences), exon-only, and flanking-only datasets with 506–546 loci (~4.7 million bases) for 46 Burmeistera species/lineages and 10 outgroup taxa. Nuclear loci resolved backbone nodes and many congruent internal relationships with high support in concatenation and coalescent-based species tree analyses, and inferences were largely robust to effects of missing taxa and base composition biases. Nevertheless, species trees were incongruent between datasets, and gene trees exhibited remarkably high levels of conflict (~4–60% congruence, ~40–99% conflict) not simply driven by poor gene tree resolution. Higher gene tree heterogeneity at shorter branches suggests an important role of ILS, as expected for rapid radiations. Phylogenetic informativeness analyses also suggest this incongruence has resulted from low resolving power at short internal branches, consistent with ILS, and homoplasy at deeper nodes, with exons exhibiting much greater risk of incorrect topologies due to homoplasy than other datasets. Our findings suggest that targeted sequence capture is feasible for resolving rapid, recent angiosperm radiations, and that results based on supercontig alignments containing nuclear exons and flanking sequences have higher phylogenetic utility and accuracy than either alone. We use our results to make practical recommendations for future target capture-based studies of Burmeistera and other rapid angiosperm radiations, including that such studies should analyze supercontigs to maximize the phylogenetic information content of loci.