There are a few steps you can take to improve stability of clones with difficult-to-maintain inserts. Supplement the medium with extra nutrients (e.g., add 20-30 mM glucose to Terrific Broth) or try a vector that has a reduced copy number (e.g., pBR322). Some clones can exhibit a high degree of deletions; this is usually a result of the clones having long terminal repeat (LTR) sequences or regions with high secondary structure. To overcome this problem, the cells can be grown at 30°C or ambient temperature (in LB or in a nutrient rich broth like Terrific Broth). Do not to let the cells reach late stationary phase in liquid culture. Alternatively, transform into cells that maintain unstable sequences such as Stbl2, Stbl3, or Stbl4 cells.