Hi Phil,
You could change the output to a pi-network. Since this is a grid-driven design, you would probably have to change the input circuit. Here is a link that discusses the Bruene neutralization scheme for single-ended amplifiers in section 5.3.
http://www.cpii.com/docs/related/22/C&F5Web.pdfThe 1996 ARRL handbook has a writeup of a series of 1kw single-band amps using a pair of 813s. They do not neutralize the amp on 80 or 40, but do on 20, 15, and 10. If I recall, some have mentioned that it is challenging to have a bandswitched 813 amp that is satisfactory on the higher bands.
Another other thing to keep in mind is whether you want to operate Class-C only or be able to set the bias for linear operation in Class AB1 or AB2.
I'm sure there are some that are more experienced in this area than I and hopefully, they will offer additional advise.
Bob, AB1MN